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QUESTION 5 Let X and Y be continuous random variables with joint probability density function as follows: f(x,y)=81 »-f x²y ;0≤x≤k, 0≤ysk 0 elsewhere a) Show that the value of k=3, so that f(x, y) is a valid joint probability function. b) Find P(X>2|Y=1).

QUESTION 5 Let X and Y be continuous random variables with joint probability density function as follows: f(x,y)=81 »-f x²y ;0≤x≤k, 0≤ysk 0 elsewhere a) Show that the value of k=3, so that f(x, y) is a valid joint probability function. b) Find P(X>2|Y=1).

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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QUESTION 5 Let X and Y be continuous random variables with joint probability density function as follows: 2 f(x, y)=81 0 y ;0≤x≤k, 0≤ysk elsewhere a) Show that the value of k =3, so that f(x, y) is a valid joint probability function. b) Find P(X>2Y = 1). 3
Transcribed Image Text:QUESTION 5 Let X and Y be continuous random variables with joint probability density function as follows: 2 f(x, y)=81 0 y ;0≤x≤k, 0≤ysk elsewhere a) Show that the value of k =3, so that f(x, y) is a valid joint probability function. b) Find P(X>2Y = 1). 3
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