17. The table below shows how 558 people applying for a credit card were classified according to home ownership and length of time on the job. Let L be the event "less than 2 years", M be the event "more than 2 years", O be the event "owns own home", and R be the event "rents".

Length of Time in Present Job

Less than 2 years More than 2 years Row total

Owns	73	194
Rents	210	81
Column total

Compute the totals and find,

a.) P(O)

b.) P(O given L)

c.) P(R given M)

d.) P(R and M)

e.) Are L and M mutually exclusive?

17a. 267/588

17b.___________

17c.___________

17d.___________

17e.___________

18. Binomial Distribution

a) According to insurance records, a car with a certain protection system will be recovered 90% of the time. If 800 stolen cars are randomly selected, what are the mean and standard deviation of the number of cars recovered after being stolen?

18a.___________

b) A quiz consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the quiz a student must get 70% or better on the quiz. If a student randomly guesses, what is the probability that the student will pass the quiz?

18b.___________

19. Normal Curve

a) Find the area under the standard normal curve to the right of

z = -1.42.

b) Determine the area under the standard normal curve that lies between z = -0.8 and z = 0.8

c) Find the area under the standard normal curve betweenz = 1 and z = 2.

d) Assume that the random variable X is normally distributed, with mean =40 and standard deviation

=10 Compute the probability

P(12 X 55).

19a.___________

19b.___________

19c.___________

19d.___________

20. The manufacturer of a coffee dispensing machine claims the ounces per cup is mound-shaped and symmetric with mean = 7 ounces and standard deviation = 0.8 ounce. If 40 cups of coffee are measured, what is the probability that the average ounces per cup is x is

a) more than 7.4 ounces?

b) between 6.9 and 7.4 ounces?

20a.___________

20b.___________