Question

in a survey of a group of men, the heights in the 20 - 29 age group were normally distributed, with a mean of 69.3 inches and a standard deviation of 2.0 inches. a study participant is randomly selected. complete parts (a) through (d) below. decimal places as needed. (b) find the probability that a study participant has a height that is between 65 and 70 inches. the probability that the study participant selected at random is between 65 and 70 inches tall is 0.6210. (round to four decimal places as needed.) (c) find the probability that a study participant has a height that is more than 70 inches. the probability that the study participant selected at random is more than 70 inches tall is 0.3632. (round to four decimal places as needed.) (d) identify any unusual events. explain your reasoning. choose the correct answer below. a. the events in parts (b) and (c) are unusual because its probabilities are less than 0.05. b. the event in part (a) is unusual because its probability is less than 0.05. c. none of the events are unusual because all the probabilities are greater than 0.05. d. the event in part (b) is unusual because its probability is less than 0.05.

Explanation:

Step1: Recall the definition of unusual events

Unusual events are those with a probability of less than 0.05.

Step2: Analyze given probabilities

The probability in part (b) is 0.6210 and in part (c) is 0.3632. Both are greater than 0.05.

Answer:

C. None of the events are unusual because all the probabilities are greater than 0.05.