Let X be a random variable with the cumulative distribution function FX(x)=begincases0,&if x<0,dfracx+25,&if 0le x<2,1,&if xge2.endcases Then, which of the following statements are true?

Q104Section C (Part C)104 of 120

Moments and Chebyshev bound for a mixed distribution

Let $X$ be a random variable with the cumulative distribution function

$F_X(x)=\begin{cases}0,&\text{if }x<0,\\\dfrac{x+2}5,&\text{if }0\le x<2,\\1,&\text{if }x\ge2.\end{cases}$

Then, which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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