Los Angeles workers have an average commute of 26 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 X? X - N b. Find the probability that a randomly selected LA worker has a commute that is longer than 32 minutes. c. Find the 85th percentile for the commute time of LA workers. minutes

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Los Angeles workers have an average commute of 26 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 X? X - N
b. Find the probability that a randomly selected LA worker has a commute that is longer than 32 minutes.
c. Find the 85th percentile for the commute time of LA workers.
Hint:
minutes
Transcribed Image Text:Los Angeles workers have an average commute of 26 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 X? X - N b. Find the probability that a randomly selected LA worker has a commute that is longer than 32 minutes. c. Find the 85th percentile for the commute time of LA workers. Hint: minutes
Expert Solution
Step 1: Determine the given data

From the provided information,

text Mean end text open parentheses mu close parentheses equals 26
text Standard deviation end text open parentheses sigma close parentheses equals 14


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