In a survey of a group of? men, the heights in the? 20-29 age group were normally? distributed, with a mean of 68.8 inches and a standard deviation of 3.0 inches. a study participant is randomly selected. complete parts? (a) through? (d) below

? (a) find the probability that a study participant has a height that is less than 66 inches. the probability that the study participant selected at random is less than 66 inches tall is __

? (round to four decimal places as? needed.)

(b) find the probability that a study participant has a height that is between 66 and 71 inches. the probability that the study participant selected at random is between 66 and 71 inches tall is

? (round to four decimal places as? needed.)

? (c) find the probability that a study participant has a height that is more than 71 inches. the probability that the study participant selected at random is more than 71inches tall is

? (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 left parenthesis a right parenthesis comma left parenthesis b right parenthesis comma and left parenthesis c right parenthesis are unusual because all of their probabilities are the events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05.

b. there are no unusual events because all the probabilities are greaterthere are no unusual events because all the probabilities are greater than 0.05.

c. the event in part left parenthesis a right parenthesis(a) is unusual because its probability is less than 0.05.

d. the events in parts left parenthesis a right parenthesis and left parenthesis c right parenthesis(a) and (c) are unusual because its probabilities are less than 0.05.