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Suppose X and Y have joint pdf f(x, y) = {ax²y (ax²y, x² ≤ y ≤ 1 0, otherwise

Suppose X and Y have joint pdf f(x, y) = {ax²y (ax²y, x² ≤ y ≤ 1 0, otherwise

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Suppose X and Y have joint pdf f(x,y) = (ax²y, x² sy≤1 0, otherwise a.) Determine the constant a. b.) Find P(X ≥ Y). c.) Find P(X = Y) and P(X = 2Y). d.) Compute marginal densities and determine whether X and Y are independent.
Transcribed Image Text:1. Suppose X and Y have joint pdf f(x,y) = (ax²y, x² sy≤1 0, otherwise a.) Determine the constant a. b.) Find P(X ≥ Y). c.) Find P(X = Y) and P(X = 2Y). d.) Compute marginal densities and determine whether X and Y are independent.
2. a.) A waiter is working in a restaurant and he expects to get 2TL tip once every 1/2 hour. Compute the probability that will have to wait between 2 to 4 hours before he collects 8TL.
Transcribed Image Text:2. a.) A waiter is working in a restaurant and he expects to get 2TL tip once every 1/2 hour. Compute the probability that will have to wait between 2 to 4 hours before he collects 8TL.
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