Question

Problem 4 Bob and Alice plan to meet between noon and 1 pm for lunch at the cafeteria Bob's arrival time, denoted by X, measured in minutes after 12 noon, is a uniform random variable betrwen 0 and Go minutes. The same for Alice's amial time, denoted by Y Bob's and Alice's arrival times are independent. We are interested in the waiting time i. What is the probability that W 10 if X 15? ii. What is the probability that W 10 if X5? iii. What is average waiting time if X-r, where 0 r 60? iv. What is the average waiting time?

Answer 1

20- o 3 (60 -o)

10 60-O 6o 12 13 EC* 2 14 12.0 2 ing