Question

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

xi :	0	1	2
pi :	3c3	4c − 10c2	5c-1

where c > 0  Find: P (1 < X ≤ 2)

Answer 1

 P (1 < X ≤ 2)

\[= P\left( X = 2 \right)\]
\[ = 5c - 1\]
\[ = \frac{5}{3} - 1\]
\[ = \frac{5 - 3}{3}\]
\[ = \frac{2}{3}\]