Problem

The accompanying table describes the random variable $x$, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) throughtd) below. Click the icon to view the table. a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. 0.031 (Type an integer or a decimal. Do not round.) b. 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 from part (a) or part (b)? A. 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. B. Since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability. C. Since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability. D. Since the probability of getting 4 sleepwalkers is the result from part (a), this is the relevant probability.

Solution

Step 1 :The question is asking for the probability of getting exactly 4 sleepwalkers among 5 adults, the probability of getting 4 or more sleepwalkers among 5 adults, and which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults.

Step 2 :Since we don't have the table, we can't calculate the probabilities directly. However, we can answer the third part of the question based on the given probabilities.

Step 3 :The question is asking which probability is relevant for determining whether 4 is a significantly high number of sleepwalkers among 5 adults. The answer should be the probability of getting 4 or more sleepwalkers, because we are interested in whether 4 is a significantly high number, so we need to consider the probability of getting 4 or more, not just exactly 4.

Step 4 :So, the answer should be A. 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.

Step 5 :\(\boxed{\text{A. Since the probability of getting 4 or more sleepwalkers is the probability of the given or more extreme result, the result from part (b) is the relevant probability.}}\)

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