1 points

QUESTION 4

Suppose you have a random variable that is uniformly distributed between 123 and 167. What is the expected value for this random variable? Answer to one decimal place if necessary.

1 points

QUESTION 5

Suppose you have a random variable that is uniformly distributed between 29 and 76. What is the variance for this random variable? Answer to one decimal place if necessary.

2 points

QUESTION 6

Suppose you have a random variable that is uniformly distributed between 63 and 733. What is the probability of observing a random draw greater than or equal to 278? Answer to three decimal place if necessary.

2 points

QUESTION 7

Suppose you have a random variable that is uniformly distributed between 0 and 2. What is the probability of observing a random draw greater than or equal to 0.19? Answer to three decimal place if necessary.

2 points

QUESTION 8

An Italian restaurant advertises that carryout orders take about 25 minutes. Assume that the time it takes for an order to be ready follows the exponential distribution with a mean of 25. What is the probability that an order will be ready within 19 minutes? Answer to three decimal places if needed.

2 points

QUESTION 9

A Thai restaurant advertises that carryout orders take about 20 minutes. Assume that the time it takes for an order to be ready follows the exponential distribution with a mean of 20. What is the probability that an order will take longer than 28 minutes? Answer to three decimal places if needed.

2 points

QUESTION 10

Suppose that the weight of cereal in a box is normally distributed around a mean of 20, measured in ounces, with a standard deviation of 0.11. What is the z value for a box with 19.85 ounces of cereal? Answer to three decimal places if needed.

2 points

QUESTION 11

Suppose that the weight of cereal in a box is normally distributed around a mean of 15, measured in ounces, with a standard deviation of 0.07. What is the z value for a box with 14.97 ounces of cereal? Answer to three decimal places if needed.

2 points

QUESTION 12

Suppose that the loan amount on mortgages for a particular zip code is normally distributed with a mean of 151,909, measured in dollars, with a standard deviation of 14,597. What is the z value for a loan of 165,046 dollars? Answer to three decimal places if needed.

1 points

QUESTION 13

Suppose that the auto loans from a bank are normally distributed with a mean of $23,334 and a standard deviation of 3,412. What is the probability that a randomly selected loan will be for more than $23,334? Answer to three decimal places if necessary.

1 points

QUESTION 14

Suppose that the auto loans from a bank are normally distributed with a mean of $23,334 and a standard deviation of 3,412. What is the probability that a randomly selected loan will be for more than $25,000? Answer to three decimal places if necessary.

1 points

QUESTION 15

Suppose that the auto loans from a bank are normally distributed with a mean of $23,334 and a standard deviation of 3,412. What is the probability that a randomly selected loan will be for less than $26,000? Answer to three decimal places if necessary.

1 points

QUESTION 16

A uniformly distributed random variable

must be discrete.

must be between 0 and 1.

has the same density for all possible values that the random variable can take on.

has a variance equal to the mean.

1 points

QUESTION 17

The number of cars that a family owns is a continuous variable.

True

False

1 points

QUESTION 18

The total amount a cereal company spends on payroll is a continuous variable.

True

False

1 points

QUESTION 19

The average of 2, 4, 6 is

1

2

3

4

1 points

QUESTION 20

The minimum of 2, 4, 6 is

1

2

3

4

1 points

QUESTION 21

For the exponential distribution the mean and standard deviation are

the same.

unrelated.

related by the square root function.

related by the exponential pdf.

1 points

QUESTION 22

The ________ distribution has the following CDF: 1-exp(-x/μ). Use all lower case letters and double check your spelling.

1 points

QUESTION 23

The exponential distribution is symmetric.

True

False

1 points

QUESTION 24

For the normal distribution the mean and variance are

the same.

unrelated.

related by the square root function.

related by the normal pdf.

1 points

QUESTION 25

The normal distribution is symmetric.

True

False

1 points

QUESTION 26

The uniform distribution is symmetric.

True

False