Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 244 feet
and a standard deviation of 54 feet. We randomly sample
49 fly balls.
Part (a)
If X = average distance in feet for 49 fly balls, then
give the distribution of X. Round your standard
deviation to two decimal places.
X ~ ___ (___,___)
Part (b)
What is the probability that the 49 balls traveled an average of
less than 232 feet? (Round your answer to four decimal
places.)
Part (c)
Find the 80th percentile of the distribution of the
average of 49 fly balls. (Round your answer to two decimal
places.)