Discrete probability distributions

1. The problem statement, all variables and given/known data

Here's the question:

Given X is a discrete random variable. E(X-2) = 1/3 , VAR(X-2) = 20/9 .

Detrmine value of E(X^2)

the ans is 23/3 . but i ended up getting 3 . why i am wrong?





2. Relevant equations







3. The attempt at a solution

Attached Images

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