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	3c³	4c - 10c²	5c - 1

Where c > 0

Find: $\text{P}(1<\text{X}\leq2)$

✓

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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