## Math Problem Statement

The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Comple

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P(x)

0.163

0.389

0.287

0.128

0.027

0.006

Find the probability of getting exactly 4 sleepwalkers among 5 adults. 0.027 (Type an integer or a decimal. Do not round.)

Find the probability of getting 4 or more sleepwalkers among 5 adults.

0.033 (Type an integer or a decimal. Do not round.)

c. Which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults: the result fro

A. Since the probability of getting 4 sleepwalkers is the result from part (a), this is the relevant probability.

B. Since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability.

C. Since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.

У D.

Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability.

d. Is 4 a significantly high number of 4 sleepwalkers among 5 adults? Why or why not? Use 0.05 as the threshold for a significant event. A. Yes, since the appropriate probability is less than 0.05, it is a significantly high number.

B. No, since the appropriate probability is less than 0.05, it is not a significantly high number.

C. Yes, since the appropriate probability is greater than 0.05, it is a significantly high number.

D. No, since the appropriate probability is greater than 0.05, it is not a significantly high number.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Probability

Binomial Distribution

Significance Testing

### Formulas

P(x or more) = P(4) + P(5)

Significance threshold = 0.05

### Theorems

Probability Theory

Statistical Significance

### Suitable Grade Level

Grades 9-12

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