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AMUEEE Probability Mass Function — practice questions

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For a **probability mass function (p.m.f.)** $f(x_i) = P[X = x_i]$, the two essential conditions are:For the probability distribution $P[X=0]=0.1$, $P[X=1]=k$, $P[X=2]=2k$, $P[X=3]=2k$, $P[X=4]=k$, find $k$.If $X im B(n, p)$, the probability of exactly $x$ successes is: