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15. [5/8 Points] DETAILS PREVIOUS ANSWERS ILLOWSKYINTROSTAT1 6.2,079.HW. MY NOTES ASK YOUR TEACH Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of 6 days. Part (a) In words, define the random variable X. the length, in days, of a criminal trial the number of trials that last 21 days the length, in hours, of a criminal trial the mean time of all trials Correct! The length, in days, of a criminal trial Is the variable of Interest. Part (b) Give the distribution of X. X - N J 21 6 Part (c) If one of the trials is randomly chosen, find the probability that it lasted more than 27 days. (Round your answer to four decimal places.) X Sketch the graph