1. In a management trainee program at Claremont Enterprises, 80 percent of the trainees are
female and 20 percent male. Ninety percent of the females attended college and 78
percent of the males attended college. A management trainee is selected at random.
What is the probability that the person selected is a female who did not attend college?
Are “gender” and “attending college” independent? Justify your conclusion
mathematically.
Construct a tree diagram showing all the probabilities, conditional probabilities and joint
probabilities.
2. Reynolds Construction Company has agreed not to erect all „look-alike‟ homes in a
new subdivision. Five exterior designs are offered to potential home-buyers. The
builder has standardized three interior plans that can be incorporated in any of the
five exteriors. How many different ways can the exterior and interior plans be
offered to potential home-buyers?
3. A consumer research organization has studied the service provided by 150 appliance
repair persons in a certain city. Its findings are summarized in the following table.
Good service Poor service Total
Factory trained 48 16 64
Not factory trained 24 62 86
Total 72 78 150
a. Find the probability of choosing a repair person who provides good service.
b. Find the probability of choosing a repair person who is factory trained.
c. Find the probability of choosing a repair person who provides good service
and is factory trained.
d. Given a repair person is factory trained, what is the probability that repair
person provides good service?
e. Are „factory trained‟ and providing „good service‟ independent? Justify your
conclusion mathematically.