Question: A group of 10 people agree to meet for lunch at a café between 12 noon and 12:15 P.M. assume that each person arrives at the café at a time uniformly distributed between noon and 12:15 P.M. , and that the arrival times are independent of each other.
a) Jack and Jill are two members of the group. Find the probability that Jack arrives at least two minutes before Jill.
b) Find the probability of the event that the first of the 10 persons to arrive does so by 12:05 P.M, and the last person arrives after 12:10 P.M.