Question

The following is the p.d.f. of a r.v. X.

f(x) = `{(x/(8),  "for"  0 < x < 4),(0,  "otherwise."):}`

Find P(x > 2)

Answer 1

P(X > 2) = `int_2^4 x/(8)`

= `(1)/(8) int_2^4 x·dx`

= `(1)/(16)[x^2]_2^4`

= `(1)/(16)[16 - 4]`

= `(12)/(16)`

= `(3)/(4)`