Question

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

f(x) = `x/8`, for 0 < x < 4 and = 0 otherwise.

 P(x > 2)

Answer 1

 P( x > 2 )

= ` int_(2)^4 f (x) dx` 

=` int_(2)^4 x/8 dx`

=`1/8[x^2/2]_2^4`

=`1/8 [16/2 - 4/2]`

= `1/8 xx 6`

=`3/4`