Let the random variable and have the joint pmf X Y f(x,y) = {x(y)^2}/c where x...

Let the random variable and have the joint pmf X Y f(x,y) = {x(y)^2}/c
where x = 1, 2, 3 ; y = 1, 2, x+y<= 4, that is (x,y) are {(1,1), (1,2), (2,1), (2,2), 3,1)}
(a) Find . c > 0

(b) Find . μX

(c) Find . μY

(d) Find . σ2 X

(e) Find . σ2 Y

(f) Find Cov . (X,Y )

(g) Find p , Corr . (x,y)

(h) Are and X and Y independent

Expert Solution

orchestra answered 2 years ago

Let the random variable X and Y have the joint pmf f(x, y) = , c...

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Let the joint pmf of X and Y be defined by f (x, y) = c(x...

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let the random variables x and y have the joint p.m.f f(x,y)= (x+y)/12 where x=1,2 and...

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let p ( x , y )be a joint pmf of Xand Y. p ( x...

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a. Suppose that X is a discrete random variable with pmf f(x) = (2 + θ(2...

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SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf...

SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf is given as Px,y = ?(? + ? + 2)/(B + 2) for 0 ≤ X < 3, 0 ≤ Y < 3 (Where B=0) a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 2

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Question

Let the random variable and have the joint pmf X Y f(x,y) = {x(y)^2}/c where x...

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Expert Solution

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