In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.9 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below.
The probability that the study participant selected at random is between 65 and 72 inches tall is 0.6160 . (Round to four decimal places as needed.)
(c) Find the probability that a study participant has a height that is more than 72 inches.
The probability that the study participant selected at random is more than 72 inches tall is 0.2192 . (Round to four decimal places as needed.)
(d) Identify any unusual events. Explain your reasoning
A. The events in parts (a) 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. There are no unusual events because all the probabilities are greater than 0.05
D. The events in parts (a), (b), and (c) are unusual because all of their probabilities are less than 0.05 .
Answer
Identify any unusual events. The correct answer is \(\boxed{\text{C. There are no unusual events because all the probabilities are greater than 0.05}}\).
Step 1 ：In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.9 inches and a standard deviation of 4.0 inches. A study participant is randomly selected.
Step 2 ：The probability that the study participant selected at random is between 65 and 72 inches tall is 0.6160 .
Step 3 ：Find the probability that a study participant has a height that is more than 72 inches. The probability that the study participant selected at random is more than 72 inches tall is 0.2192 .
Step 4 ：Identify any unusual events. The correct answer is \(\boxed{\text{C. There are no unusual events because all the probabilities are greater than 0.05}}\).
