Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X2 X N b. Find the probability that a randomly selected LA worker has a commute that is longer than 39 minutes. c. Find the 85th percentile for the commute time ofLA workers minutes

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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Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally distributed
with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker. Round
all answers to 4 decimal places where possible.
a. What is the distribution of X2 X N
b. Find the probability that a randomly selected LA worker has a commute that is longer than 39 minutes.
c. Find the 85th percentile for the commute time ofLA workers
minutes
Transcribed Image Text:Los Angeles workers have an average commute of 34 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly selected LA worker. Round all answers to 4 decimal places where possible. a. What is the distribution of X2 X N b. Find the probability that a randomly selected LA worker has a commute that is longer than 39 minutes. c. Find the 85th percentile for the commute time ofLA workers minutes
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