A cross-tabulation of sales transactions data is shown to the right. Use the data to complete parts a Region Вook DVD Total and b below. East 51 42 93 North 41 42 83 South 62 38 100 West 103 88 191 Total 257 210 467 a. Find the marginal probabilities that a sale originated in each of the four regions and the marginal probabi The marginal probability for the eastern region is 199 The marginal probability for the northern region is .178 The marginal probability for the southern region is .214 The marginal probability for the western region is .409 The marginal probability for book sales is .550 The marginal probability for DVD sales is .450 (Round to three decimal places as needed.) b. Find the conditional probabilities of selling a book given that the customer resides in each region. The conditional probability for book sales given residence in the eastern region is The conditional probability for book sales given residence in the northern region is The conditional probability for book sales given residence in the southern region is The conditional probability for book sales given residence in the western region is (Round to three decimal places as needed.)

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