The joint pdf of a bivariate random variable (X,Y) is given by2K x j V jx; = 1,2; y; = 1,2,3Px,y (x₁, y₁) =0otherwisewhere K is a constant.(a)Find the value of k.(b) Find the marginal pmfs of X and Y.

From the given data: P(xi,yi)=kxi2yi xi=1,20…

The joint pdf of a bivariate random variable (X,Y) is given by [Kx²y, x₁ = 1,2; y, = 1,2,3 Px,y (x₁, y₁) =< X,Y 0 otherwise where K is a constant. (a) Find the value of k. (b) Find the marginal pmfs of X and Y.

The joint pdf of a bivariate random variable (X,Y) is given by [Kx²y, x₁ = 1,2; y, = 1,2,3 Px,y (x₁, y₁) =< X,Y 0 otherwise where K is a constant. (a) Find the value of k. (b) Find the marginal pmfs of X and Y.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.1: Functions Of Several Variables

Problem 34E: The following table provides values of the function f(x,y). However, because of potential; errors in...

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Question

The joint pdf of a bivariate random variable (X,Y) is given by
2
K x j V j
x; = 1,2; y; = 1,2,3
Px,y (x₁, y₁) =
0
otherwise
where K is a constant.
(a)
Find the value of k.
(b) Find the marginal pmfs of X and Y.

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