Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 246 feet and a standard deviation of 39 feet. Answer the following, rounding probabilities to 4 decimals.
Let X = the distance in feet for a fly ball.
a. X ~ ( , )
b. Find the probability that a randomly hit fly ball travels less than 200 feet.
c. Find the probability that a randomly hit fly ball travels more than 350 feet.
d. Find the probability that a randomly hit fly ball travels between 150 and 210 feet.
e. 80% of fly balls travel between feet and feet. Round answers to 2 decimals.
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