Los Angeles workers have an average commute of 27 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 minutes. Let X represent the commute time for a randomly...

Los Angeles workers have an average commute of 27 minutes. Suppose the LA commute time is normally distributed with a standard deviation of 14 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 30 minutes.



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