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Competitive Stats
Q37Section B (Section B)37 of 60

Independent Poisson pair

Let the discrete random variables XX and YY have the joint probability mass function

P(X=m,Y=n)={e−2m! n!,m=0,1,2,…;n=0,1,2,…, 0,otherwise.P(X=m,Y=n)=\begin{cases}\dfrac{e^{-2}}{m!\,n!}, & m=0,1,2,…; n=0,1,2,…,\ 0, & \text{otherwise.}\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.