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In: Statistics and Probability

In a survey of a group of​ men, the heights in the​ 20-29 age group were...

In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 67,4 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 68 inches.
The probability that the study participant selected at random is less than 68 inches tall is
nothing. ​(Round to four decimal places as​ needed.)
​(b) Find the probability that a study participant has a height that is between 58 and 71 inches.
The probability that the study participant selected at random is between 68 and 71 inches tall is
nothing. ​(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
nothing. ​(Round to four decimal places as​ needed.)
​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A. The event in part is unusual because its probability is less than 0.05.
B. than 0.05.
C. than 0.05.

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