Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a
Question:
Annie and Alvie have agreed to meet between 5:00 P.M.
and 6:00 P.M. for dinner at a local health-food restaurant.
Let X Annie’s arrival time and Y Alvie’s arrival time.
Suppose X and Y are independent with each uniformly distributed on the interval [5, 6].
a. What is the joint pdf of X and Y?
b. What is the probability that they both arrive between 5:15 and 5:45?
c. If the first one to arrive will wait only 10 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [Hint: The event of interest is A {(x, y):⏐x y⏐
1 6
}.]
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Related Book For
Probability And Statistics For Engineering And The Sciences
ISBN: 9781111802325
7th Edition
Authors: Dave Ellis, Jay L Devore
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