The joint PDF of two random variables X,Y is given by Sk (x + y),0 < x < 2,0 < y < 2 fxv (x, y) = {0. l0, otherwise a) What is the value of k ? b) c) Find the joint probability P( 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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my question is in the images section. 

The joint PDF of two random variables X,Y is given by
Sk (x + y),0 < x < 2,0 < y < 2
10,
fxr(x, y) =
otherwise
What is the value of k ?
a)
b)
c)
d)
Find the joint probability P( 1<X<2,0<Y<1).
Find the conditional probability P( 0<Y<l/2|X=1 ).
Find P( 0<Y<1 ).
Find the correlation coefficient Pxy-
Transcribed Image Text:The joint PDF of two random variables X,Y is given by Sk (x + y),0 < x < 2,0 < y < 2 10, fxr(x, y) = otherwise What is the value of k ? a) b) c) d) Find the joint probability P( 1<X<2,0<Y<1). Find the conditional probability P( 0<Y<l/2|X=1 ). Find P( 0<Y<1 ). Find the correlation coefficient Pxy-
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