Question

The probability distribution of a random variable X is given below:

X	0	1	2	3
P(X)	k	`"k"/2`	`"k"/4`	`"k"/8`

Find P(X ≤ 2) + P (X > 2)

Answer 1

P(X ≤ 2) + P (X > 2) = `14/15 + 1/15`

= `(14 + 1)/15`

= `15/15`

= 1.