Suppose X and Y have c.d.f.s F1 and F2 respectively, where F1(x)=begincases0,&x<0 2/3,&0le x<1 1,&xge1endcases qquadandqquad F2(x)=begincases0,&x<0 sqrtx,&0le x<1 1,&xge1 .endcases Then which of the following statements is true?

Q129Section III (Statistics)129 of 180

Expectation from a c.d.f. — discrete and continuous

Suppose $X$ and $Y$ have c.d.f.s $F_1$ and $F_2$ respectively, where

$F_1(x)=\begin{cases}0,&x<0\ 2/3,&0\le x<1\ 1,&x\ge1\end{cases} \qquad\text{and}\qquad F_2(x)=\begin{cases}0,&x<0\ \sqrt{x},&0\le x<1\ 1,&x\ge1 .\end{cases}$

Then which of the following statements is true?

Pick an option to check your answer.

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