Los Angeles workers have an average commute of 30 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. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X~ N(30 b. Find the probability that a randomly selected LA worker has a commute that is longer than 33 minutes. 12 c. Find the 75th percentile for the commute time of LA workers. minutes

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Los Angeles workers have an average commute of 30 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. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N(30
12
b. Find the probability that a randomly selected LA worker has a commute that is longer than 33 minutes.
c. Find the 75th 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 time is normally distributed with a standard deviation of 12 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(30 12 b. Find the probability that a randomly selected LA worker has a commute that is longer than 33 minutes. c. Find the 75th percentile for the commute time of LA workers. minutes
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