The owner of a restaurant serving Continental-styleentreeswas 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 beefentreewas ordered. The results are as follows:
Gender
Dessert Ordered
Male Female Total
Yes 96 40 136No 224 240 464Total 320 280 600
BeefEntree
Dessert Ordered Yes No Total
Yes 71 65 136No 116 348 464Total 187 413 600
A waiter approaches a table to take an order for dessert. What is the probability that the first customer at the table...a. orders a dessert
b. orders a dessert or has ordered a beefentree?
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 from the whom the waiter takes the dessert order is a female. What is the probability that she does not order dessert?
f. Are gender and ordering dessert independent?
g. Is ordering a beefentreeindependent of whether the person orders dessert?
h. Is there anything that you would do to increase the odds of a patron ordering dessert? Write a 3 to 5 sentence explanation.
Note: Work is to be shown for each problem that requires calculations. If you state just the answer, you
receive a zero.All work should be submitted in a Word document.