Question: 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:

Gendered

DESSERT ORDERED Male Female Total

Yes 96 40 136
No 224 240 464

Total 320 280 600

Beef Entrée

DESSERT ORDERED Male Female Total

Yes 71 65 136
No 116 348 464

Total 187 413 600

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 that the waiter takes the dessert order form is a female. What is the probability that she does not order dessert>

f. are gender and ordering desert statistically independent?

g. is ordering a beef entrée statistically independent of whether the person orders dessert?