a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 67.2 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.       Question content area bottom Part 1 ​(a) Find the probability that a study participant has a height that is less than 65 inches.   The probability that the study participant selected at random is less than 65 inches tall is 0.2912   0.2912. ​(Round to four decimal places as​ needed.) Part 2 ​(b) Find the probability that a study participant has a height that is between 65 and 71 inches.   The probability that the study participant selected at random is between 65 and 71 inches tall is 0.5377   0.5377. ​(Round to four decimal places as​ needed.) Part 3 ​(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 0.1711   0.1711. ​(Round to four decimal places as​ needed.)

MATLAB: An Introduction with Applications
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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
67.2
inches and a standard deviation of
4.0
inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.
 
 
 

Question content area bottom

Part 1
​(a) Find the probability that a study participant has a height that is less than
65
inches.
 
The probability that the study participant selected at random is less than
65
inches tall is
0.2912
 
0.2912.
​(Round to four decimal places as​ needed.)
Part 2
​(b) Find the probability that a study participant has a height that is between
65
and
71
inches.
 
The probability that the study participant selected at random is between
65
and
71
inches tall is
0.5377
 
0.5377.
​(Round to four decimal places as​ needed.)
Part 3
​(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
0.1711
 
0.1711.
​(Round to four decimal places as​ needed.)
Part 4
​(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
 
 
A.
The event in part
(a)
is unusual because its probability is less than 0.05.
 
B.
There are no unusual events because all the probabilities are greater
than 0.05.
 
C.
The events in parts (a), (b), and (c) are unusual because all of their probabilities are  
less
than 0.05.
 
D.
The events in parts
(a) and (c)
are unusual because its probabilities are less than 0.05.
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