Question: Below is a table showing sales transaction data for Book and DVD in four region. (Please use the equation in your answers, e.g. =B9/B8 or

Below is a table showing sales transaction data

Below is a table showing sales transaction data for Book and DVD in four region. (Please use the equation in your answers, e.g. "=B9/B8" or "=90/200"; Partial points will be deducted if only type in numbers directly) 1 2 a. Find the marginal probabilities that a sale originated in each of the four regions and the marginal probability of each type of sale. b. Find the conditional probabilities of selling a book given that the customer resides in each region. 4 5 (a) 6 REGION Book DVD TOTAL 7 East 56 42 98 P(East) 8 North 43 42 85 P(North) 9 South 62 37 99 P(South) 10 West 100 90 190 P(West) 11 TOTAL 261 211 472 12 13 P(Book) P(DVD) 14. 15 16 17 (b) P(Book East) 18 P(Book North) 19 P(Book South) 20 P(Book West) 21 22 23 24 25 26 27 28 29 30 31 32 33

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