Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 24 days and a standard deviation of 6 days. Part (a) In words, define the random variable X. the mean time of all trials the number of trials that last 24 days the length, in days, of a criminal trial the length, in hours, of a criminal trial Part (b) Give the distribution of X. X ~ , 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.) Sketch the graph. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Write the probability statement. P Part (d) 64% of all trials of this type are completed within how many days? (Round your answer to two decimal places.) days