Given X B (n, p). If n=10 and p=0.4, find E ( X ) and var. ( X ). - Vidyadip

Question

Given $X \sim B (n, p)$. If $n=10$ and $p=0.4$, find $E ( X )$ and var. $( X )$.

✓

Answer

Given, n = 10, p = 0.4
q = 1 – p = 1 – 0.4 = 0.6
Now, E(X) = np = 10 x 0.4 = 4
Var(X) = npq = 10 x 0.4 x 0.6 = 2.4

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