Exam 5: Discrete Probability Distributions

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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: 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? -Referring to Scenario 5-1, what is the expected value gain for the house in neighborhood B?

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$ 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?

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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. 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? -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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$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: 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? -Referring to Scenario 5-1, what is the total standard deviation of value gain if you invest in both houses?

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A probability distribution is an equation that

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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. 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? -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?

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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.

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The connotation "expected value" or "expected gain" from playing roulette at a casino means

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True or False: The largest value that a Poisson random variable X can have is n.

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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: 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? -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?

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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.

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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: 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? -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?

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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: 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? -Referring to Scenario 5-1, what is the total variance of value gain if you invest in both houses?

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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?

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In a binomial distribution

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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: 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? -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?

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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. 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? -Referring to Scenario 5-2, what is the standard deviation of your profit when Design A is chosen?

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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. 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? -Referring to Scenario 5-2, what is the variance of your profit when Design B is chosen?

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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: 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? -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?

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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: 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? -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?

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