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Q35Section B (Section B)35 of 60

Interval probabilities from a cdf with jumps

Let XX be a random variable with the cumulative distribution function

F(x)={0,x<0, 1+x210,0≤x<1, 3+x210,1≤x<2, 1,x≥2.F(x)=\begin{cases}0, & x<0,\ \dfrac{1+x^2}{10}, & 0\le x<1,\ \dfrac{3+x^2}{10}, & 1\le x<2,\ 1, & x\ge2.\end{cases}

Which of the following statements is (are) TRUE?

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

Options

Select every correct option, then submit.