Random Variablesmedium
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Let XX be a discrete random variable with the probability mass function P(X=k)=λkeλk!P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!} for k=0,1,2,k = 0, 1, 2, \ldots, where λ>0\lambda > 0. What is the value of P(X=0)P(X=0)?