Exam 5: Discrete Probability Distributions
Exam 1: Defining and Collecting Data200 Questions
Exam 2: Organizing and Visualizing189 Questions
Exam 3: Numerical Descriptive Measures80 Questions
Exam 4: Basic Probability108 Questions
Exam 5: Discrete Probability Distributions81 Questions
Exam 6: Conthe Tinuonormausl Disdis Tributionstribution and Other38 Questions
Exam 7: Sampling Distributions62 Questions
Exam 8: Confidence Interval Estimation139 Questions
Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests133 Questions
Exam 10: Two-Sample Tests95 Questions
Exam 11: Analysis of Variance73 Questions
Exam 12: Chi-Square and Nonparametric100 Questions
Exam 13: Simple Linear Regression89 Questions
Exam 14: Introduction to Multiple113 Questions
Exam 15: Multiple Regression62 Questions
Exam 16: Time-Series Forecasting61 Questions
Exam 17: Business Analytics102 Questions
Exam 18: A Roadmap for Analyzing Data133 Questions
Exam 19: Statistical Applications in Quality Management86 Questions
Exam 20: Decision Making121 Questions
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SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, what is the expected value gain for the house in neighborhood B?

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(Essay)
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Correct Answer:
$ 21,300
A campus program evenly enrolls undergraduate and graduate students.If a random sample of 4
Students is selected from the program to be interviewed about the introduction of a new fast food
Outlet on the ground floor of the campus building, what is the probability that all 4 students
Selected are undergraduate students?
Free
(Multiple Choice)
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Correct Answer:
B
SCENARIO 5-2
Two different designs on a new line of winter jackets for the coming winter are available for your
manufacturing plants.Your profit (in thousands of dollars)will depend on the taste of the consumers
when winter arrives.The probability of the three possible different tastes of the consumers and the
corresponding profits are presented in the following table.
-Referring to Scenario 5-2, if you decide to choose Design A for half of the production lines and
Design B for the other half, what is the risk of your investment?

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(Essay)
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Correct Answer:
$31.241 thousands or $31,241
SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, what is the total standard deviation of value gain if you invest in
both houses?

(Essay)
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(42)
SCENARIO 5-2
Two different designs on a new line of winter jackets for the coming winter are available for your
manufacturing plants.Your profit (in thousands of dollars)will depend on the taste of the consumers
when winter arrives.The probability of the three possible different tastes of the consumers and the
corresponding profits are presented in the following table.
-Referring to Scenario 5-2, if you decide to choose Design A for half of the production lines and
Design B for the other half, what is your expected profit?

(Essay)
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True or False: The variance of the sum of two investments will be equal to the sum of the
variances of the two investments plus twice the covariance between the investments.
(True/False)
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The connotation "expected value" or "expected gain" from playing roulette at a casino means
(Multiple Choice)
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True or False: The largest value that a Poisson random variable X can have is n.
(True/False)
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SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, if you can invest 90% of your money on the house in neighborhood
A and the remaining on the house in neighborhood B, what is the portfolio risk of your
investment?

(Essay)
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True or False: The number of males selected in a sample of 5 students taken without replacement
from a class of 9 females and 18 males has a hypergeometric distribution.
(True/False)
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SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, if you can invest 10% of your money on the house in neighborhood
A and the remaining on the house in neighborhood B, what is the portfolio expected return of
your investment?

(Essay)
4.8/5
(41)
SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, what is the total variance of value gain if you invest in both houses?

(Essay)
4.7/5
(41)
A professor receives, on average, 24.7 e-mails from students the day before the midterm exam.
To compute the probability of receiving at least 10 e-mails on such a day, he will use what type
Of probability distribution?
(Multiple Choice)
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SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, if you can invest 90% of your money on the house in neighborhood
A and the remaining on the house in neighborhood B, what is the portfolio expected return of
your investment?

(Essay)
4.8/5
(39)
SCENARIO 5-2
Two different designs on a new line of winter jackets for the coming winter are available for your
manufacturing plants.Your profit (in thousands of dollars)will depend on the taste of the consumers
when winter arrives.The probability of the three possible different tastes of the consumers and the
corresponding profits are presented in the following table.
-Referring to Scenario 5-2, what is the standard deviation of your profit when Design A is
chosen?

(Essay)
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(42)
SCENARIO 5-2
Two different designs on a new line of winter jackets for the coming winter are available for your
manufacturing plants.Your profit (in thousands of dollars)will depend on the taste of the consumers
when winter arrives.The probability of the three possible different tastes of the consumers and the
corresponding profits are presented in the following table.
-Referring to Scenario 5-2, what is the variance of your profit when Design B is chosen?

(Essay)
4.8/5
(34)
SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, if you can invest 30% of your money on the house in neighborhood
A and the remaining on the house in neighborhood B, what is the portfolio risk of your
investment?

(Essay)
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(25)
SCENARIO 5-1
There are two houses with almost identical characteristics available for investment in two different
neighborhoods with drastically different demographic composition.The anticipated gain in value
when the houses are sold in 10 years has the following probability distribution:
-Referring to Scenario 5-1, if you can invest 30% of your money on the house in neighborhood
A and the remaining on the house in neighborhood B, what is the portfolio expected return of
your investment?

(Essay)
4.9/5
(31)
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