Find the conditional mean and variance of k

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Reference no: EM13131244

Tom shops for probability books forK hours, whereK is a random variable that is equally likely to be 1,2,3,or 4. The number of books N that he buys is random and depends on how long he shops according to the conditional PMF pNjK(njk) = 1 K, for n = 1; :::; k.

(a) Find the joint PMF of K and N.

(b) Find the marginal PMF of N.

(d) Find the conditional mean and variance of K, given that he bought at least 2 but no more than 3 books.

(e) The cost of each book is a random variable with mean 30. What is the expected value of his total expenditure?

Reference no: EM13131244

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