The probability mass function (p. m. f.) of X is given below :
`|{:(X=x,1,2,3),(P(X=x),(1)/(5),(2)/(5),(2)/(5)):}|` find `E(X^(2))`

Explanation

To find \( E(X^2) \) using the given probability mass function (p.m.f.) of \( X \), we will follow these steps:

### Step 1: Identify the values of \( X \) and their corresponding probabilities
From the problem, we have:
- \( X = 1 \) with \( P(X=1) = \frac{1}{5} \)
- \( X = 2 \) with \( P(X=2) = \frac{2}{5} \)
- \( X = 3 \) with \( P(X=3) = \frac{2}{5} \)

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