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Los Angeles workers have an average commute of 27 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 minutes.

Los Angeles workers have an average commute of 27 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 13 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 33 minutes. _________

c. Find the 85th percentile for the commute time of LA workers. ___________ minutes.

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