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Create table giving the joint p.m.f of T and U.

Name: Create table giving the joint p.m.f of T and U.
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X and Y are independent identically distributed binary random variables. Each has P(+1) = 1/2 and P(-1) = 1/2.

Find T = XY and U = X + Y.

1. Create table giving the joint p.m.f of T and U.
2. Find E(T), E(U), and Cov(T,U).
3. Are T and U independent?

Besides finding E(T), E(U), and Cov(T,U), this solution also assesses if T and U are independent.

Please see the attached files.

The joint p.m.f of X and Y is as follows:
X
Y -1 +1 P(y)
-1

P(x)

Given T = XY, then T can take the values -1 and +1

U = X+ Y hence U ...

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