Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 45 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 336 feet. Round to 4 decimal places. c. Find the 70th 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
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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
265 feet and a standard deviation of 45 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 336 feet. Round
to 4 decimal places. c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2
decimal places. feet
ง
c
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of
265 feet and a standard deviation of 45 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 336 feet. Round to 4 decimal places.
c. Find the 70th 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 265 feet and a standard deviation of 45 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 336 feet. Round to 4 decimal places. c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet ง c Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 265 feet and a standard deviation of 45 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 336 feet. Round to 4 decimal places. c. Find the 70th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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