In: Statistics and Probability
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.