In a survey of a group ofmen,the heights in the20-29age group
In a survey of a group ofmen,the heights in the20-29age group were
normallydistributed,with a mean of
67.2
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
65
inches.
The probability that the study participant selected at random is less than
65
inches tall is
0.1356
.
(Roundto four decimal places asneeded.)
(b)Find the probability that a study participant has a height that is between
65
and
72
inches.
The probability that the study participant selected at random is between
65
and
72
inches tall is
nothing
.
(Roundto four decimal places asneeded.)
(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
.
(Roundto four decimal places asneeded.)
(d)Identify any unusual events. Explain your reasoning. Choose the correct answer below.
A.
The event in part
left parenthesis a right parenthesis
is unusual because its probability is less than 0.05.
B.
The events in parts
left parenthesis a right parenthesis and left parenthesis b right parenthesis
are unusual because its probabilities are less than 0.05.
C.
None of the events are unusual because all the probabilities are
greater
than 0.05.
D.
The event in part left parenthesis c right parenthesis is unusual because its probability is less
than 0.05.
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