Question
In a survey of a group of? men, the heights in the? 20-29 age group were normally? distributed, with a mean of 68.3 inches and
In a survey of a group of? men, the heights in the? 20-29 age group were normally? distributed, with a mean of 68.3 inches and a standard deviation of 2.0 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 ______. ?(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 71 inches 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 a , b , c are unusual because all of their probabilities are??less than 0.05.
B. There are no unusual events because all the probabilities are greater than 0.05.
C. The event in part a is unusual because its probability is less than 0.05.
D. The events in parts a and care unusual because its probabilities are less than 0.05.
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