Discrete Random Variables – Mean

Question 1

A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.What is the standard deviation of the distribution?

Revolt · Accepted Answer

B: 1.40

Question 2

Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let A represent the score on a randomly selected exam for subject A and let B represent the score on a randomly selected exam for subject B. The distributions of scores for each subject’s standardized tests are displayed in the table and the histograms.

Revolt · Accepted Answer

C: The center for the distribution of scores appears to be higher for subject B than for subject A.

Question 3

The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.

Revolt · Accepted Answer

B: 0.95

Question 4

Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subject’s standardized test is given in the table.

Revolt · Accepted Answer

B: 2.95

Question 5

Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.What is the median of the distribution?

Revolt · Accepted Answer

C: 4

Question 6

Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.Which is the correct interpretation of the standard deviation?

Revolt · Accepted Answer

C: The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.

Question 7

Hannah and Claire each have a chicken coop with 6 hens. Let H represent the total number of eggs the hens lay on a randomly chosen day in Hannah’s coop and let C represent the total number of eggs the hens lay on a randomly chosen day in Claire’s coop. The two distributions are displayed in the table and histograms.

Revolt · Accepted Answer

A: Hannah’s hens appear to lay more eggs, on average, than Claire’s hens.

Question 8

The owner of a local movie theater keeps track of the number of tickets sold in each purchase and makes a probability distribution based on these records. Let X represent the number of tickets bought in one purchase. The distribution for X is given in the table.

Revolt · Accepted Answer

A: 2

Question 9

The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.

Revolt · Accepted Answer

B: 3

Question 10

Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.What is the mean of the distribution?

Revolt · Accepted Answer

D: 4.2

Discrete Random Variables – Mean Answers

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