Find the probability distribution function for the number of jazz CDs when 4 CDs are selected from a collection consisting of 5 Jazz CDs, 2 classical CDs, and 3 rock CDs. Express your results by means of a formula.

Question

anonymous · Answer

let x = number of jazz cd's selected.  then x = {0, 1, 2, 3, 4}

$$P(X=k)=\frac{ \left(\begin{matrix}5 \ k\end{matrix}\right)\left(\begin{matrix}5 \ 4-k\end{matrix}\right) }{ \left(\begin{matrix}10 \ 4\end{matrix}\right) }$$