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Problem 2 The owner of a restaurant serving Continental-style entrees was interested in studying ordering patterns of patrons for the Friday-to-Sunday weekend time period. Records were maintained that indicated the demand for dessert during the same time period. The owner decided to study two other variables, along with whether a dessert was ordered: the gender of the individual and whether a beef entrée was ordered. The results are as follows: Gender Beef Entrée Dessert Male Ordered Yes No Total Female Total Total Dessert Yes Ordered Yes No Total No 96 224 320 40 240 280 136 464 600 71 116 187 65 348 413 136 464 600 (Problem continued on next slide)

Problem 2 contd (Problem continued from previous slide) A waiter approaches a table to take an order. What is the probability that the first customer to order at the table a. Orders a dessert? b. Orders a dessert or a beef entrée? C. Is a female and does not order a dessert? d. Is a female or does not order a dessert? e. Suppose the first person what the waiter takes the dessert order from is a female. What is the probability that she does not order dessert? f. Are gender and ordering dessert independent? g. Is ordering a beef entrée independent of whether the persons orders dessert?

Please show work, if possible.

math   Statistics-And-Probability   
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