In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 69.8 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 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 68 and 72 inches.   The probability that the study participant selected at random is between 68 and 72 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 72 inches.   The probability that the study participant selected at random is more than 72 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 events in parts (a) and (c) are unusual because its probabilities are less than 0.05.   B. The events in parts (a), (b), and (c) are unusual because all of their probabilities are   less than 0.05.   C. There are no unusual events because all the probabilities are greater than 0.05.

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In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of
69.8
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
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
68
and
72
inches.
 
The probability that the study participant selected at random is between
68
and
72
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
72
inches.
 
The probability that the study participant selected at random is more than
72
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 events in parts
(a) and (c)
are unusual because its probabilities are less than 0.05.
 
B.
The events in parts (a), (b), and (c) are unusual because all of their probabilities are  
less
than 0.05.
 
C.
There are no unusual events because all the probabilities are greater
than 0.05.
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