The probability distribution function oif a random variable X is … - Vidyadip

Question

The probability distribution function oif a random variable X is given by

$X_i$	0	1	2
$P_i$	$3c^3$	$4c - 10c^2$	$5c - 1$

Where $c > 0$
Find: $\text{P}(1<\text{X}\leq2)$

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Answer

$\text{P}(1<\text{X}\leq2)$
$=\text{P}(\text{X}=2)$
$=5\text{c}-1$
$=\frac{5}{3}-1$
$=\frac{5-3}{3}$
$=\frac{2}{3}$

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