For the following probability distribution: X-4-3-2-10P(X)0.10.20… - Vidyadip

Question

For the following probability distribution:

$X$	$-4$	$-3$	$-2$	$-1$	$0$
$P(X)$	$0.1$	$0.2$	$0.3$	$0.2$	$0.2$

Find $E(X).$

✓

Answer

$E(X)=\sum X P(X)$
$=-4 \times(0.1)+(-3 \times 0.2)+(-2 \times 0.3)$$+(-1 \times 0.2)+(0 \times 0.2)$
$=-0.4-0.6-0.6-0.2+0=-1.8$

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