the accompanying table describes the random variable x, the numbers of adults in groups of five who reported…

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.\na. find the probability of getting exactly 4 sleepwalkers among 5 adults.\n0.021 (type an integer or a decimal. do not round.)\nb. find the probability of getting 4 or more sleepwalkers among 5 adults.\n0.025 (type an integer or a decimal. do not round.)\nc. 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)?\na. 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.\nb. since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability.\nc. since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.\nd. since the probability of getting 4 sleepwalkers is the result from part (a), this is the relevant probability.\nprobability distribution for x\n|x|p(x)|\n|0|0.159|\n|1|0.390|\n|2|0.297|\n|3|0.129|\n|4|0.021|\n|5|0.004|

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.\na. find the probability of getting exactly 4 sleepwalkers among 5 adults.\n0.021 (type an integer or a decimal. do not round.)\nb. find the probability of getting 4 or more sleepwalkers among 5 adults.\n0.025 (type an integer or a decimal. do not round.)\nc. 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)?\na. 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.\nb. since the probability of getting fewer than 4 sleepwalkers is the complement of the result from part (b), this is the relevant probability.\nc. since the probability of getting 5 sleepwalkers is less likely than getting 4 sleepwalkers, the result from part (a) is the relevant probability.\nd. since the probability of getting 4 sleepwalkers is the result from part (a), this is the relevant probability.\nprobability distribution for x\n|x|p(x)|\n|0|0.159|\n|1|0.390|\n|2|0.297|\n|3|0.129|\n|4|0.021|\n|5|0.004|

Answer

Explanation:

Step1: Identify probabilities from table

From the probability - distribution table, (P(4)=0.021) and (P(5) = 0.004).

Step2: Calculate probability for part (b)

To find the probability of getting 4 or more sleep - walkers among 5 adults, we use the formula (P(X\geq4)=P(4)+P(5)). So (P(X\geq4)=0.021 + 0.004=0.025).

Step3: Determine relevant probability for part (c)

When determining if a value is significantly high, we consider the probability of getting that value or a more extreme value. For determining if 4 is a significantly high number of sleep - walkers among 5 adults, we look at the probability of getting 4 or more sleep - walkers.

Answer:

a. 0.021 b. 0.025 c. 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.