Question

In: Statistics and Probability

The accompanying table describes the random variable​ x, the numbers of adults in groups of five...

The accompanying table describes the random variable​ x, the numbers of adults in groups of five who reported sleepwalking. Complete parts​ (a) through​ (d) below. LOADING... Click the icon to view the table. a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. nothing ​(Type an integer or a decimal. Do not​ round.) b. Find the probability of getting 4 or more sleepwalkers among 5 adults. nothing ​(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 sleepwalkers is the result from part​ (a), this is the relevant probability. B. Since the probability of getting 5 sleepwalkers includes getting 4​ sleepwalkers, the result from part​ (b) 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. D. Since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part​ (b), this 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. ​No, since the appropriate probability is less than​ 0.05, it is not a significantly high number. B. ​No, since the appropriate probability is greater than​ 0.05, it is not a significantly high number. C. ​Yes, since the appropriate probability is less than​ 0.05, it is a significantly high number. D. ​Yes, since the appropriate probability is greater than​ 0.05, it is a significantly high number. Click to select your answer(s).

x ​P(x) 0 0.171,

1 0.355

2 0.304

3 0.138

4 0.028

5 0.004

Solutions

Expert Solution

a.

Probability of getting exactly 4 sleepwalkers among 5 adults = P(X=4) = 0.028

b.

Probability of getting 4 or more sleepwalkers among 5 adults = P(X=4) + P(X=5) = 0.028 + 0.004 = 0.032

c.

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

d.

Correct option : A. ​No, since the appropriate probability is less than​ 0.05 , it is not a significantly high number


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