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15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 1 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
! This quiz has been regraded; your new score reflects 0 questions that were affected.
Practice Exam (In-Semester in S2, 2022)
Due No due date Points 27 Questions 27
Time Limit 90 Minutes Allowed Attempts Unlimited
Instructions
Attempt History
Attempt Time Score Regraded
KEPT Attempt 1 77 minutes 11 out of 27 11 out of 27
LATEST Attempt 2 12 minutes 7 out of 27 7 out of 27
Attempt 1 77 minutes 11 out of 27 11 out of 27
Submitted Sep 15 at 22:18
A formula sheet is provided here
(h!ps://canvas.sydney.edu.au/courses/44147/files/25204207/download?download_frd=1) . Note: this is
the same formula sheet as will be provided for the in-semester exam.
Your test will consist of:
Question type Points Recommended time
spent
Q1-Q5 MCQ 5 10 minutes
Take the Quiz Again
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 2 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Section A contains 7 questions that are either True/False or Multiple
Choice Questions.
1 / 1 ptsQuestion 1
A histogram is used for representing the distribution of categorical
data.
True
False Correct!
1 / 1 ptsQuestion 2
The number of coffees you have in a particular day is a numeric
discrete variable.
True Correct!
False
1 / 1 ptsQuestion 3
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 3 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The joint probability of X and Y is also referred to as
The probability of the intersection of X and Y. Correct!
The probability of X given Y.
The probability of the union of X and Y.
The probability of Y given X.
1 / 1 ptsQuestion 4
Which of the following is NOT a measure of central tendency?
The z-score. Correct!
The most frequently occurring value in a set of data.
The middle number of an ordered array when the sample size is an
odd number.
The arithmetic average of a set of data.
1 / 1 ptsQuestion 5
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 4 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The following distribution shows the age of accounts payable.
Which one of the following statements is TRUE?
The distribution of the age of accounts payable is skewed to the right.
Correct!
The distribution of the age of accounts payable is skewed to the left.
The distribution of the age of accounts payable is symmetric.
We cannot determine whether the distribution of the age of accounts
payable is symmetric or asymmetric.
1 / 1 ptsQuestion 6
Let X be a random variable representing the number of students
visiting the library between 9am and 10am. Which one of the
following statements about X is TRUE?
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 5 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The first quartile of X must be discrete.
The range of X must be discrete and non-negative. Correct!
The mean of X must be discrete.
The inter-quartile range (IQR) of X must be negative and discrete.
The median of X must be integer-valued and non-negative.
0 / 1 ptsQuestion 7
Which of the following does NOT provide a probability sample?
Simple random sampling
Systematic sampling
Stratified sampling
Quota sampling Correct!
Cluster sampling
Section B contains 5 numerical questions and each equation requires
only one answer.
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 6 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
1 / 1 ptsQuestion 8
Amy is working for the library as an intern. She is interested in
analysing the number of students who visit the library between 9am
and 10am on each day the library is open. She has collected data on
the number of students visiting the library during this time period for
the past 20 days. You can download the file from here
DataLibrary.xlsx
(h!ps://canvas.sydney.edu.au/courses/44147/files/25204275/download?
download_frd=1) .
(Hint: Click the symbol after .xlsx to download. Get yourself familiar
with downloading data before the real exam.)
What is the value of the sample standard deviation?
2.349
Correct!
Correct Answers 2.349 (with margin: 0.05)
0 / 1 ptsQuestion 9
Jack is packing his school bag, which can fit only 3 books. Jack has
6 books to choose and must bring 3 books with him. How may
different ways can Jack pack the books in his school bag? Hint: Your
answer must be an integer.
120
You Answered
Correct Answers 20 (with margin: 0.1)
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 7 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
0 / 1 ptsQuestion 10
A small company has 55 employees, of which 4 are senior
executives, 15 are managers and the remaining 36 are in non-
executive non-managerial roles. The TV program "60 minutes" wants
to do a program on the company and will interview 5 employees for
that purpose. If a group of 5 employees are chosen at random, what
is the probability that there are exactly 2 senior executives in the
group? (Round your answer to three decimal places.)
3.636
You Answered
Correct Answers 0.036 (with margin: 0.0005)
0 / 1 ptsQuestion 11Unanswered
Cars arriving for petrol at a particular petrol station follow a Poisson
distribution with a mean of 5 per hour. Determine the probability that
only 1 car will arrive over the next half hour. (Keep your answer to
three decimal places.)
You Answered
Correct Answers 0.205 (with margin: 0.0005)
0 / 1 ptsQuestion 12Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 8 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Suppose that X follows a binomial distribution with mean that equals
4. If the range of X is known to be 10, what is the probability that X is
either 2 or 4?
You Answered
Correct Answers 0.372 (with margin: 0.005)
Section C contains 15 numerical questions and some of them are
inter-related to the same data set or the same problem statement.
Questions 13 to 16 are related to the same problem statement.
0 / 1 ptsQuestion 13Unanswered
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
If a randomly chosen tyre is replaced at 67,680 kilometers, what is
the corresponding z-score? The z-score is
Round your answers to three decimal places.
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 9 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
You Answered
Correct Answers 0.512 (with margin: 0.01)
0 / 1 ptsQuestion 14Unanswered
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
What is the probability that a tyre is replaced after traveling more
than 72,000 kilometers? The probability is
Round your answers to three decimal places.
You Answered
Correct Answers 0.212 (with margin: 0.01)
0 / 1 ptsQuestion 15Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 10 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
Among all the tyres that were replaced in the last 5 years, what
proportion of them travelled between 52,500 and 66,000 kilometers?
The proportion is
Round your answers to three decimal places.
You Answered
Correct Answers 0.347 (with margin: 0.01)
0 / 1 ptsQuestion 16Unanswered
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
A tyre manufacturer plans to offer a warranty to its customers. The
warranty promises to refund the customer $100 if the tyre does not
last for 45,000 kilometers. What is the expected cost per tyre of this
warranty in dollars? The expect cost is
Round your answers to three decimal places.
You Answered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 11 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Correct Answers 15.866 (with margin: 0.1)
Questions 17 to 19 are related to the same problem statement.
0 / 1 ptsQuestion 17Unanswered
A population is known to have a right-skewed distributions with mean
10, median 6.931, and standard deviation 10. A sample of size
n=100 is drawn from this population. The sampling distribution of the
sample mean, x̄, approximately follows a normal distribution with
mean
Round your answers to three decimal places.
You Answered
Correct Answers 10 (with margin: 0.2)
0 / 1 ptsQuestion 18Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 12 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
A population is known to have a right-skewed distributions with mean
10, median 6.931, and standard deviation 10. A sample of size
n=100 is drawn from this population. The sampling distribution of the
sample mean, x̄, approximately follows a normal distribution with
standard deviation
Round your answers to three decimal places.
You Answered
Correct Answers 1 (with margin: 0.1)
0 / 1 ptsQuestion 19Unanswered
A population is known to have a right-skewed distributions with mean
10, median 6.931, and standard deviation 10. A sample of size
n=100 is drawn from this population. The sampling distribution of the
sample mean, x̄, approximately follows a normal distribution with
mean and standard deviation that you have identified in the previous
two questons. Based on this normal approximation, what is the
probability that the sample mean is less than 9.8?
Round your answers to three decimal places.
You Answered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 13 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Correct Answers 0.421 (with margin: 0.02)
Questions 20 to 22 are related to the same problem statement.
0 / 1 ptsQuestion 20Unanswered
From past experience, cycling’s drug testing body has found that 2%
of professional cyclists have taken an illegal substance in the past 6
months. They have developed a test to help determine the presence
of illegal substances in a cyclist. The test only produces positive or
negative results. It turns out that 90% of cyclists that have taken an
illegal substance in the past 6 months will test positive. Furthermore,
only 1% of cyclists who did not take any illegal substance in the past
6 months will test positive.
The probability of a positive test is
You Answered
Correct Answers 0.028 (with margin: 0.002)
0 / 1 ptsQuestion 21Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 14 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
From past experience, cycling’s drug testing body has found that 2%
of professional cyclists have taken an illegal substance in the past 6
months. They have developed a test to help determine the presence
of illegal substances in a cyclist. The test only produces positive or
negative results. It turns out that 90% of cyclists that have taken an
illegal substance in the past 6 months will test positive. Furthermore,
only 1% of cyclists who did not take any illegal substance in the past
6 months will test positive.
If a professional cyclist has taken an illegal substance in the past 6
months, what is the probability that a negative test has resulted? It is
You Answered
Correct Answers 0.1 (with margin: 0)
0 / 1 ptsQuestion 22Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 15 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
From past experience, cycling’s drug testing body has found that 2%
of professional cyclists have taken an illegal substance in the past 6
months. They have developed a test to help determine the presence
of illegal substances in a cyclist. The test only produces positive or
negative results. It turns out that 90% of cyclists that have taken an
illegal substance in the past 6 months will test positive. Furthermore,
only 1% of cyclists who did not take any illegal substance in the past
6 months will test positive.
What is the probability that a professional cyclist has taken an illegal
substance in the past 6 months, if a positive test has resulted? It is
You Answered
Correct Answers 0.647 (with margin: 0.02)
Questions 23 to 27 are related to the same data set as follows.
Suppose that X follows a discrete distribution that is given in the
following excel file. DataDist.xlsx
(h!ps://canvas.sydney.edu.au/courses/44147/files/25204068/download?
download_frd=1)
Let µ be the mean of X and σ be the standard deviation of X.
0 / 1 ptsQuestion 23Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 16 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The value of is
You Answered
Correct Answers 2.824 (with margin: 0.01)
0 / 1 ptsQuestion 24Unanswered
The value of is
You Answered
Correct Answers 1.352 (with margin: 0)
0 / 1 ptsQuestion 25Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 17 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
According to Chebyshev’s inequality,
should be at least
You Answered
Correct Answers 0.75 (with margin: 0.05)
0 / 1 ptsQuestion 26Unanswered
Using the provided information about X (see the EXCEL file you
downloaded), what is the probability that
? It is
You Answered
Correct Answers 0.943 (with margin: 0)
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 18 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
0 / 1 ptsQuestion 27Unanswered
Your answer for Q26 is larger than the prediction based on
Chebyshev’s inequality.
True Correct Answer
False
Page 1 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
! This quiz has been regraded; your new score reflects 0 questions that were affected.
Practice Exam (In-Semester in S2, 2022)
Due No due date Points 27 Questions 27
Time Limit 90 Minutes Allowed Attempts Unlimited
Instructions
Attempt History
Attempt Time Score Regraded
KEPT Attempt 1 77 minutes 11 out of 27 11 out of 27
LATEST Attempt 2 12 minutes 7 out of 27 7 out of 27
Attempt 1 77 minutes 11 out of 27 11 out of 27
Submitted Sep 15 at 22:18
A formula sheet is provided here
(h!ps://canvas.sydney.edu.au/courses/44147/files/25204207/download?download_frd=1) . Note: this is
the same formula sheet as will be provided for the in-semester exam.
Your test will consist of:
Question type Points Recommended time
spent
Q1-Q5 MCQ 5 10 minutes
Take the Quiz Again
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 2 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Section A contains 7 questions that are either True/False or Multiple
Choice Questions.
1 / 1 ptsQuestion 1
A histogram is used for representing the distribution of categorical
data.
True
False Correct!
1 / 1 ptsQuestion 2
The number of coffees you have in a particular day is a numeric
discrete variable.
True Correct!
False
1 / 1 ptsQuestion 3
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 3 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The joint probability of X and Y is also referred to as
The probability of the intersection of X and Y. Correct!
The probability of X given Y.
The probability of the union of X and Y.
The probability of Y given X.
1 / 1 ptsQuestion 4
Which of the following is NOT a measure of central tendency?
The z-score. Correct!
The most frequently occurring value in a set of data.
The middle number of an ordered array when the sample size is an
odd number.
The arithmetic average of a set of data.
1 / 1 ptsQuestion 5
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 4 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The following distribution shows the age of accounts payable.
Which one of the following statements is TRUE?
The distribution of the age of accounts payable is skewed to the right.
Correct!
The distribution of the age of accounts payable is skewed to the left.
The distribution of the age of accounts payable is symmetric.
We cannot determine whether the distribution of the age of accounts
payable is symmetric or asymmetric.
1 / 1 ptsQuestion 6
Let X be a random variable representing the number of students
visiting the library between 9am and 10am. Which one of the
following statements about X is TRUE?
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 5 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The first quartile of X must be discrete.
The range of X must be discrete and non-negative. Correct!
The mean of X must be discrete.
The inter-quartile range (IQR) of X must be negative and discrete.
The median of X must be integer-valued and non-negative.
0 / 1 ptsQuestion 7
Which of the following does NOT provide a probability sample?
Simple random sampling
Systematic sampling
Stratified sampling
Quota sampling Correct!
Cluster sampling
Section B contains 5 numerical questions and each equation requires
only one answer.
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 6 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
1 / 1 ptsQuestion 8
Amy is working for the library as an intern. She is interested in
analysing the number of students who visit the library between 9am
and 10am on each day the library is open. She has collected data on
the number of students visiting the library during this time period for
the past 20 days. You can download the file from here
DataLibrary.xlsx
(h!ps://canvas.sydney.edu.au/courses/44147/files/25204275/download?
download_frd=1) .
(Hint: Click the symbol after .xlsx to download. Get yourself familiar
with downloading data before the real exam.)
What is the value of the sample standard deviation?
2.349
Correct!
Correct Answers 2.349 (with margin: 0.05)
0 / 1 ptsQuestion 9
Jack is packing his school bag, which can fit only 3 books. Jack has
6 books to choose and must bring 3 books with him. How may
different ways can Jack pack the books in his school bag? Hint: Your
answer must be an integer.
120
You Answered
Correct Answers 20 (with margin: 0.1)
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 7 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
0 / 1 ptsQuestion 10
A small company has 55 employees, of which 4 are senior
executives, 15 are managers and the remaining 36 are in non-
executive non-managerial roles. The TV program "60 minutes" wants
to do a program on the company and will interview 5 employees for
that purpose. If a group of 5 employees are chosen at random, what
is the probability that there are exactly 2 senior executives in the
group? (Round your answer to three decimal places.)
3.636
You Answered
Correct Answers 0.036 (with margin: 0.0005)
0 / 1 ptsQuestion 11Unanswered
Cars arriving for petrol at a particular petrol station follow a Poisson
distribution with a mean of 5 per hour. Determine the probability that
only 1 car will arrive over the next half hour. (Keep your answer to
three decimal places.)
You Answered
Correct Answers 0.205 (with margin: 0.0005)
0 / 1 ptsQuestion 12Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 8 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Suppose that X follows a binomial distribution with mean that equals
4. If the range of X is known to be 10, what is the probability that X is
either 2 or 4?
You Answered
Correct Answers 0.372 (with margin: 0.005)
Section C contains 15 numerical questions and some of them are
inter-related to the same data set or the same problem statement.
Questions 13 to 16 are related to the same problem statement.
0 / 1 ptsQuestion 13Unanswered
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
If a randomly chosen tyre is replaced at 67,680 kilometers, what is
the corresponding z-score? The z-score is
Round your answers to three decimal places.
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 9 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
You Answered
Correct Answers 0.512 (with margin: 0.01)
0 / 1 ptsQuestion 14Unanswered
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
What is the probability that a tyre is replaced after traveling more
than 72,000 kilometers? The probability is
Round your answers to three decimal places.
You Answered
Correct Answers 0.212 (with margin: 0.01)
0 / 1 ptsQuestion 15Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 10 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
Among all the tyres that were replaced in the last 5 years, what
proportion of them travelled between 52,500 and 66,000 kilometers?
The proportion is
Round your answers to three decimal places.
You Answered
Correct Answers 0.347 (with margin: 0.01)
0 / 1 ptsQuestion 16Unanswered
Let X be the distance in kilometers that a tyre travels before being
replaced. Historical data suggests that X is normally distributed with
mean 60,000 and coefficient of variation 0.25.
A tyre manufacturer plans to offer a warranty to its customers. The
warranty promises to refund the customer $100 if the tyre does not
last for 45,000 kilometers. What is the expected cost per tyre of this
warranty in dollars? The expect cost is
Round your answers to three decimal places.
You Answered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 11 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Correct Answers 15.866 (with margin: 0.1)
Questions 17 to 19 are related to the same problem statement.
0 / 1 ptsQuestion 17Unanswered
A population is known to have a right-skewed distributions with mean
10, median 6.931, and standard deviation 10. A sample of size
n=100 is drawn from this population. The sampling distribution of the
sample mean, x̄, approximately follows a normal distribution with
mean
Round your answers to three decimal places.
You Answered
Correct Answers 10 (with margin: 0.2)
0 / 1 ptsQuestion 18Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 12 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
A population is known to have a right-skewed distributions with mean
10, median 6.931, and standard deviation 10. A sample of size
n=100 is drawn from this population. The sampling distribution of the
sample mean, x̄, approximately follows a normal distribution with
standard deviation
Round your answers to three decimal places.
You Answered
Correct Answers 1 (with margin: 0.1)
0 / 1 ptsQuestion 19Unanswered
A population is known to have a right-skewed distributions with mean
10, median 6.931, and standard deviation 10. A sample of size
n=100 is drawn from this population. The sampling distribution of the
sample mean, x̄, approximately follows a normal distribution with
mean and standard deviation that you have identified in the previous
two questons. Based on this normal approximation, what is the
probability that the sample mean is less than 9.8?
Round your answers to three decimal places.
You Answered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 13 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
Correct Answers 0.421 (with margin: 0.02)
Questions 20 to 22 are related to the same problem statement.
0 / 1 ptsQuestion 20Unanswered
From past experience, cycling’s drug testing body has found that 2%
of professional cyclists have taken an illegal substance in the past 6
months. They have developed a test to help determine the presence
of illegal substances in a cyclist. The test only produces positive or
negative results. It turns out that 90% of cyclists that have taken an
illegal substance in the past 6 months will test positive. Furthermore,
only 1% of cyclists who did not take any illegal substance in the past
6 months will test positive.
The probability of a positive test is
You Answered
Correct Answers 0.028 (with margin: 0.002)
0 / 1 ptsQuestion 21Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 14 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
From past experience, cycling’s drug testing body has found that 2%
of professional cyclists have taken an illegal substance in the past 6
months. They have developed a test to help determine the presence
of illegal substances in a cyclist. The test only produces positive or
negative results. It turns out that 90% of cyclists that have taken an
illegal substance in the past 6 months will test positive. Furthermore,
only 1% of cyclists who did not take any illegal substance in the past
6 months will test positive.
If a professional cyclist has taken an illegal substance in the past 6
months, what is the probability that a negative test has resulted? It is
You Answered
Correct Answers 0.1 (with margin: 0)
0 / 1 ptsQuestion 22Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 15 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
From past experience, cycling’s drug testing body has found that 2%
of professional cyclists have taken an illegal substance in the past 6
months. They have developed a test to help determine the presence
of illegal substances in a cyclist. The test only produces positive or
negative results. It turns out that 90% of cyclists that have taken an
illegal substance in the past 6 months will test positive. Furthermore,
only 1% of cyclists who did not take any illegal substance in the past
6 months will test positive.
What is the probability that a professional cyclist has taken an illegal
substance in the past 6 months, if a positive test has resulted? It is
You Answered
Correct Answers 0.647 (with margin: 0.02)
Questions 23 to 27 are related to the same data set as follows.
Suppose that X follows a discrete distribution that is given in the
following excel file. DataDist.xlsx
(h!ps://canvas.sydney.edu.au/courses/44147/files/25204068/download?
download_frd=1)
Let µ be the mean of X and σ be the standard deviation of X.
0 / 1 ptsQuestion 23Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 16 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
The value of is
You Answered
Correct Answers 2.824 (with margin: 0.01)
0 / 1 ptsQuestion 24Unanswered
The value of is
You Answered
Correct Answers 1.352 (with margin: 0)
0 / 1 ptsQuestion 25Unanswered
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 17 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
According to Chebyshev’s inequality,
should be at least
You Answered
Correct Answers 0.75 (with margin: 0.05)
0 / 1 ptsQuestion 26Unanswered
Using the provided information about X (see the EXCEL file you
downloaded), what is the probability that
? It is
You Answered
Correct Answers 0.943 (with margin: 0)
15/09/2022, 10:19 PMPractice Exam (In-Semester in S2, 2022): BUSS1020 Quantitative Business Analysis
Page 18 of 18https://canvas.sydney.edu.au/courses/44147/quizzes/195434
0 / 1 ptsQuestion 27Unanswered
Your answer for Q26 is larger than the prediction based on
Chebyshev’s inequality.
True Correct Answer
False
