The accompanying table describes the random variable? x, the numbers of adults i
ID: 2945766 • Letter: T
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.
a)Find the probability of getting exactly 4 sleepwalkers among 5 adults.
b)Find the probability of getting 4 or more sleepwalkers among 5 adults.
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 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.
D-Since the probability of getting 5 sleepwalkers includes getting 4? sleepwalkers, the result from part? (b) is the relevant probability.
d) s 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.
Can you please help me solve this? I would really appreciate the steps in how to solve it since I need to figure out where I'm messing up exactly when i'm trying to solve.
Thank you.
x P(x) 0 0.161 1 0.398 2 0.291 3 0.126 4 0.022 5 0.002Explanation / Answer
From the probability distribution table,
a) P(4) = 0.022
b) P(4 or more) = P(4) + P(5) = 0.022 + 0.002 = 0.024
c) Since the probability of getting 5 sleepwalkers includes getting 4? sleepwalkers, the result from part? (b) is the relevant probability. Option D is correct.
d) Yes, since the appropriate probability is less than? 0.05, it is a significantly high number. Option C is correct.
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