(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi, if you could offer help to any of these questions, it would be great, i was unable to attend my lectures this week and I had no idea how to do these.

The joint pmf of x and y is p x,y = c(x^2 + y^2) x,y = 1,2,3 Find:

a. c and the marginal pmfs of x and y

b. e(x)

c. the pmf of 3x-2y

d. e(3x-2y) in two ways

2. Relevant equations

3. The attempt at a solution

From first investigation, I think that I have to create a table with

1,1 1,2 1,3

2,1 2,2, 2,3

3,1 3,2 3,2

and x^2 + y^2 = 1 and the p = 1/9 since theres only 9 options.

i have no idea how to continue.

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# Joint PMF of p x,y

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