Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 22 days and a standard deviation of 5 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible.

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 18 days.


c. If one of the trials is randomly chosen, find the probability that it lasted between 23 and 26 days.


d. 71% of all of these types of trials are completed within how many days? (Please enter a whole number)