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Given X - B...

Question

Given $X - B (n, p)$
If $n = 10$ and $p = 0.4$ , find $E (X)$ and $V a r (X)$ .

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Solution

Given $X \sim B (n, p), n = 10, p = 0.4$

We know that $p + q = 1 \Rightarrow q = 1 - q \Rightarrow q = 1 - 0.4 = 0.6$

$E (X) = n p = 10 \times 0.4 = 4$

$V (X) = n p q = 10 \times 0.4 \times 0.6 = 2.4$

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