Q36Section B (Section B)36 of 60

Min and max of independent binomials

Let $X$ and $Y$ be independent random variables having $\mathrm{Bin}(18,0.5)$ and $\mathrm{Bin}(20,0.5)$ distributions, respectively. Further, let $U=\min\{X,Y\}$ and $V=\max\{X,Y\}$ . Then which of the following statements is/are correct?

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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