sec4S11 - AEM 2100 Spring 2011 Section 4 1 Name Section A...

AEM 2100 Name: _________________
Spring 2011 Section:
Section 4
1.) A salesperson has seven products that he wishes to display at a national
convention. He can display only four. The order in which he displays the product
is immaterial. How many displays does he have to choose from?
2.) A restaurant has collected data on its customers’ orders and so has estimated
empirical probabilities of what happens after the main course. It was found that
50% had dessert, 40% had coffee only, and 30% had both dessert AND coffee.
a.) Draw a Venn diagram for this situation.
b.) Find the probability of the event “had coffee.”
c.) Find the probability of the event “did NOT have dessert.”
d.) Find the probability of the event “had neither coffee nor dessert.”

e.) Find the probability of the event “had coffee OR dessert.”
f.) Are the events “had coffee” and “had dessert” mutually exclusive? How do
you know?
g.) Find the conditional probability of ordering dessert GIVEN that the
customer ordered coffee.
h.) Find the conditional probability of ordering dessert GIVEN that the
customer did not order coffee.