Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 266 feet and a
standard deviation of 44 feet. Let X be the distance in feet for a
fly ball.
a. What is the distribution of X? X ~ N
b. Find the probability that a randomly hit fly ball travels less than 240 feet. Round to 4 decimal places
c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places
a). X follows normal distribution.
where,
= 266 and
= 44
b).the probability that a randomly hit fly ball travels less than 240 feet be:-
= 0.2773
[ in any blank cell of excel type =NORMDIST(240,266,44,TRUE)
press enter ]
c).let, x be the 75th percentile for the distribution of distance of fly balls.
according to the problem,
[ in any blank cell of excel type
=NORMINV(0.75,266,44)
press enter ]
the 75th percentile for the distribution of distance of fly balls = 295.68 feet.
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