AnswersNC-Math 4Binomial Probabilities

Binomial Probabilities — Unit test Answers

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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.

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A
2.5
B
2.95
C
3
D
3.5
22
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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.Which is the correct interpretation of the standard deviation?

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A
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.96 eggs.
B
The mean number of eggs laid on a randomly selected day would typically vary by 1.96 from the expected number of eggs.
C
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
D
The mean number of eggs laid on a randomly selected day would typically vary by 1.4 from the expected number of eggs.
23

The probability of a high school basketball team winning any game is 58%. This team is in a six-game tournament, and the games are played independently of one another. Let X represent the number of games the team might win in this tournament. What are the mean and standard deviation of X?

A
Mu Subscript x Baseline = 2.52, Sigma Subscript x Baseline = 2.15
Option A
B
Mu Subscript x Baseline = 3.48, Sigma Subscript x Baseline = 1.21
Option B
C
Mu Subscript x Baseline = 3.48, Sigma Subscript x Baseline = 1.46
Option C
D
Mu Subscript x Baseline = 5, Sigma Subscript x Baseline = 1.46
Option D
24

The owner of an apple orchard has learned from previous experience that, on average, 5% of the harvested apples have blemishes. The owner randomly selects 10 apples from this year’s harvest. What is the probability that 2 of the apples have blemishes?

A
0.07
B
0.10
C
0.90
D
0.95
25

The grade distribution for students in the introductory statistics class at a local community college are displayed in the table. In this table, A = 4, B = 3, etc. Let X represent the grade for a randomly selected student.

Question illustration
A
0.17
B
0.31
C
0.43
D
0.74

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