1) LetCbe the event that a randomly chosen adult has some college education. LetMbe the event that a randomly chosen adult is married. GivenP(C) = .3,P(M) = .4 andP(CM) = .25, find each probability. (a)FindP(C).(Round your answer to 1 decimal place.) (b)FindP(CM).(Round your answer to 2 decimal places.) (c)FindP(M|C).(Round your answer to 2 decimal places.) (d)FindP(C|M).(Round your answer to 2 decimal places.)

2) Bob sets two alarm clocks (battery-powered) to be sure he arises for his Monday 8:00 a.m. accounting exam. There is a 49 percent chance that either clock will wake Bob. (a)What is the probability that Bob will oversleep?(Round your answer to 4 decimal places.) (b)If Bob had three clocks, would he haveat least a 81 percent chance of waking up?

3) Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005. (a)Find the probability of success, given that a climber is at least 60 years old.(Round your answer to 3 decimal places.)

(b)Is success in climbing Everest independent of age?

4. Researchers examined forecasters' interest rate predictions for 39 quarters to see whether the predictions corresponded to what actually happened. The 2 2 contingency table below shows the frequencies of actual and predicted interest rate movements.

Interest Rate Forecast Accuracy
Forecast Change	Actual Change	Row Total
Decline (A)	Rise (A+)
Decline(F)	6	12	18
Rise(F+)	10	15	25
Column Total	16	27	43

Calculate each probability (i to vi):(Round your answers to 4 decimal places.)

i	P(F-)
ii	P(A+)
iii	P(A- | F-)
iv	P(A+ | F+)
v	P(A+ and F+)
vi	P(A- and F-)