Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 258 feet and a standard deviation of 36 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N 258 36 OF OF b. Find the probability that a randomly hit fly ball travels less than 247 feet. Round to 4 decimal places. c. Find the 80th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of
258 feet and a standard deviation of 36 feet. Let X be the distance in feet for a fly ball.
a. What is the distribution of X? X - N 258
36
or
b. Find the probability that a randomly hit fly ball travels less than 247 feet. Round to 4 decimal places.
c. Find the 80th percentile for the distribution of distance of fly balls. Round to 2 decimal places.
feet
Transcribed Image Text:Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 258 feet and a standard deviation of 36 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N 258 36 or b. Find the probability that a randomly hit fly ball travels less than 247 feet. Round to 4 decimal places. c. Find the 80th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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