The accompanying table describes the random variable x, the numbers of adults in

Question

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. EEB Click the icon to view the table a. Find the probability of getting exactly 4 sleepwalkers among 5 adults (Type an integer or a decimal. Do not round.) b. Find the probability of getting 4 or more sleepwalkers among 5 adults (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)? O A. Since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability O B. Since the probability of getting 4 sleepwalkers is the result from part (a), 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. 0 D. Since the probability of getting 5 sleepwalkers includes getting 4 sleepwalkers, 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 greate O B. No, since the appropriate probability is less th ai C. Yes, since the appropriate probability is less th Probability Distribution forx - O D. No, since the appropriate probability is greater P(x) 0.165 0.431 0.237 0.137 0.027 0.003 2 4 Print Done Click to select your answer(s)

Explanation / Answer

Solution:-
a. P(X = 4) = 0.027

b. P(X >= 4) = P(4) + P(5) = 0.027 + 0.03 = 0.030

C. option D. Since the probability of getting 5 sleepwalkers includes getting 4 sleepwalkers, the result from part (b) is the relevant probability.

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

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