Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 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 37 minutes. Round to 4 decimal places. c. Find the 70th percentile for the commute time of LA workers. Round to 2 decimal places. minutes

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally
distributed with a standard deviation of 12 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 37 minutes.
Round to 4 decimal places.
c. Find the 70th percentile for the commute time of LA workers. Round to 2 decimal places.
minutes
Transcribed Image Text:Los Angeles workers have an average commute of 29 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 12 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 37 minutes. Round to 4 decimal places. c. Find the 70th percentile for the commute time of LA workers. Round to 2 decimal places. minutes
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