Question

If the p.d.f. of a continuous random variable X is given as

`f(x)=x^2/3` for -1< x<2

       =0   otherwise

then c.d.f. fo X is

(A) `x^3/9+1/9`

(B) `x^3/9-1/9`

(C) `x^2/4+1/4`

(D) `1/(9x^3)+1/9`

Answer 1

`F(x)=int_-1^xf(y)dy=int_-1^xy^2/3dy=[y^3/9]_-1^x=x^3/9+1/9`