In: Statistics and Probability
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 17 days and a standard deviation of 4 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places unless instructed otherwise.
a. What is the distribution of X? X ~ N( , )
b. If one of the trials is randomly chosen, find the probability that it lasted at least 14 days.
c. If one of the trials is randomly chosen, find the probability that it lasted between 20 and 25 days.
d. 90% of all of these types of trials are completed within how many days? (Please enter a whole number)