Question

The probability function of a random variable X is given by
p(x) = `{{:(1/4",",  "for"  x = - 2),(1/4",",  "for"  x = 0),(1/2",",  "for"  x = 10),(0",",  "elsewhere"):}`
Evaluate the following probabilities
P(0 ≤ X ≤ 10)

Answer 1

X	– 2	0	10
P(X = x)	`1/4`	`1/4`	`1/2`

P(0 ≤ X ≤ 10) = P(X = 0) + P(X = 10)

=`1/4 + 1/2`

= `(1 + 2)/4`

= `3/4`