Los Angeles workers have an average commute of 28 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. 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 30 minutes. Round to 4 decimal places. c. Find the 90th percentile for the commute time of LA workers. Round to 2 decimal places. minutes

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Los Angeles workers have an average commute of 28 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker.

a. What is the distribution of X? \( X \sim N(\_\_\_,\_\_\_) \)

b. Find the probability that a randomly selected LA worker has a commute that is longer than 30 minutes. Round to 4 decimal places. \(\_\_\_\_\)

c. Find the 90th percentile for the commute time of LA workers. Round to 2 decimal places. \(\_\_\_\_\) minutes
Transcribed Image Text:**Transcription for Educational Website:** Los Angeles workers have an average commute of 28 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 15 minutes. Let X represent the commute time for a randomly selected LA worker. a. What is the distribution of X? \( X \sim N(\_\_\_,\_\_\_) \) b. Find the probability that a randomly selected LA worker has a commute that is longer than 30 minutes. Round to 4 decimal places. \(\_\_\_\_\) c. Find the 90th percentile for the commute time of LA workers. Round to 2 decimal places. \(\_\_\_\_\) minutes
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