The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (c) below.
x P(x)
0 0.1620.162
1 0.3900.390
2 0.2840.284
3 0.1350.135
4 0.0280.028
5 0.0010.001
(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 5 sleepwalkers includes getting 4 sleepwalkers, the result from part (b) is the relevant probability.
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.
D. Since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability.