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)
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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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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