Question
In: Statistics and Probability
In a survey of a group of men, the heights in the 20-29 age group were...
In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of
69.3 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.
)(b) Find the probability that a study participant has a height that is between
65 and 70 inches
)(c) Find the probability that a study participant has a height that is more than 70 inches
Solutions
Expert Solution
Let "X" be the men's height.
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-2.15, TRUE)" to find the probability.
The probability that a study participant has a height
that is less than 65 inches is 
------------------------------------------------------------------------------------------------
Note: P(a<Z<b)=P(Z<b)-P(Z<a)
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.35, TRUE)" & "=NORM.S.DIST(-2.15, TRUE)" to find the probability.
The probability that a study participant has a height
that is between 65 and 70 is 
.------------------------------------------------------------------------------------------------
Note: P(Z>a)=1-P(Z<a)
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(0.35, TRUE)" to find the probability.
The probability that a study participant has a height
that is more than 70 inches is 
.
------------------------------------------------------------------------------------------------
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