AnswersNC-Math 4Discrete Random Variables – Mean

Discrete Random Variables – Mean Answers

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

Question illustration
A
1.39
B
1.95
C
2.16
D
4.67
2
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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?

Question illustration
A
3
B
3.5
C
4
D
4.2
3

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.

Question illustration
A
The grade for a randomly selected student would typically vary from the expected grade by 1.16.
B
The grade for a randomly selected student would typically vary from the expected grade by 1.08.
C
The mean grade for a randomly selected student would typically vary by 1.16 from the expected grade.
D
The mean grade for a randomly selected student would typically vary by 1.08 from the expected grade.
4

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.

Question illustration
A
2
B
3
C
2.98
D
3.50
5

A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.

Question illustration
A
1
B
1.5
C
2.1
D
3.5
6

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.

Question illustration
A
2.5
B
2.95
C
3
D
3.5
7

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.

Question illustration
A
2
B
2.1
C
2.5
D
3
8

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?

Question illustration
A
3
B
3.5
C
4
D
4.2
9

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.

Question illustration
A
The center for the distribution of scores appears to be lower for subject B than for subject A.
B
The center for the distribution of subject A is approximately 3, while the center for subject B is approximately 4.
C
The center for the distribution of scores appears to be higher for subject B than for subject A.
D
The center for the distribution of scores appears to be about the same for both subjects.
10

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?

Question illustration
A
1.18
B
1.40
C
1.96
D
2.58

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