[15 10] Jim and Paula agreed to meet for lunch. Assume
Chapter 0, Problem SE4.21(choose chapter or problem)
[15 10] Jim and Paula agreed to meet for lunch. Assume that Jims arrival time X is a random variable uniformly distributed on (11:45, 12:45) and Paulas arrival time Y is a random variable uniformly distributed on (12:00, 1:00) and that X and Y are independent. a. Find the joint pdf of (X, Y) and calculate the probability that both Jim and Paula arrive before 12:30. b. Find the probability that (i) Paula comes first, (ii) Jim comes first. (Hint: Choosing the origin at x 11:45, y 11:45 makes calculations easier.)
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