Los Angeles workers have an average commute of 30 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. 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 36 minutes. c. Find the 85th percentile for the commute time of LA workers. minutes

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Los Angeles workers have an average commute of 30 minutes. Suppose the LA commute tíme is normally
distributed with a standard deviation of 15 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 36 minutes.
c. Find the 85th percentile for the commute time of LA workers.
minutes
Transcribed Image Text:Los Angeles workers have an average commute of 30 minutes. Suppose the LA commute tíme is normally distributed with a standard deviation of 15 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 36 minutes. c. Find the 85th percentile for the commute time of LA workers. minutes
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