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10. If two cards are randomly drawn (without replacement) from an ordinary deck of 52 playing cards, let Z be the number of Kings obtained from the first draw and let W be the total number of Kings obtained from both draws. The table below provides values for f(z, w), the joint distribution (PMF) of Z and W. 188 221 16 221 16 221 221 (a) Find the marginal distribution (PMF) of Z (b) Find the conditional distribution (PMF) of W given Z-z. 11. Suppose that P, the price of a certain commodity (in dollars), and S, the commoditys total sales (in 10,000 units), are random variables with joint probability density function (PDF) given by f(p, s) below p, s)Spe 5pePs. 0.2< p < 0.4, s > 0 0 otherwise (a) Find the marginal density (PDF) of P (b) Find the conditional density (PDF) of S given P- p.

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