1. Suppose that the distance of fly balls hit to the outfield
(in baseball) is normally distributed with a mean of 230 feet and a
standard deviation of 42 feet. Let X = distance in feet for a fly
ball.
a. Give the distribution of X. X~_(_,_)
b. If one fly ball is randomly chosen from this distribution,
what is the probability that this ball traveled fewer than 200
feet? (Round your answer to four decimal places.)
cFind the 80th percentile of the distribution of fly balls.
(Round your answer to one decimal place.)
2. The length of time it takes to find a parking space at 9 A.M.
follows a normal distribution with a mean of 6 minutes and a
standard deviation of 2 minutes. Sixty percent of the time, it
takes more than how many minutes to find a parking space? (Round
your answer to two decimal places.)