A discrete random variable \(X\) represents the number of defects found in a manufactured item. The probability mass function of \(X\) is partially given by: \(P(X=1)=0.1,\quad P(X=2)=0.3,\quad P(X=3)=k,\quad P(X=4)=0.4\). (a) Determine the value of \(k\) that makes this a valid probability mass function. (b) Using the value of \(k\) obtained, calculate the conditional probability \(P(X=3 […]
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