The owner of a restaurant serving Continentalstyle entrees w

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

Dessert Ordered Male Female Total

Yes 96 40 136

No 224 240 464

Total 320 280 600

Beef Entrée

Dessert Ordered Yes No 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 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?

Solution

a) total desert ordered is 136

total customer = 600

therefore probability of desert is 136/600

b)136+71=207/600

c)240/600

d)464/600

e)240/600

f)yes

g)yes