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Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at...

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Basic Math

Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00P.M. for dinner at a local health-food restaurant. Let X = Annie'sarrival time and Y = Alvie's arrival time. Suppose X and Y areindependent with each uniformly distributed on the interval [5, 6].(a) What is the joint pdf of X and Y? f(x,y) = Correct: Your answeris correct. 5 ? x ? 6, 5 ? y ? 6 Correct: Your answer is correct.otherwise (b) What is the probability that they both arrive between5:30 and 5:45? (c) If the first one to arrive will wait only 20 minbefore leaving to eat elsewhere, what is the probability that theyhave dinner at the health-food restaurant? [Hint: The event ofinterest is A = (x, y): |x ? y| ? 1/3 . ] (Round your answer tothree decimal places.)

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Annie and Alvie have agreed to meet between 500 PM and 600PM for dinner at a local healthfood restaurant Let X Anniesarrival time and Y    See Answer
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