Answer the questions in the screenshot below. Please show your work. Thank you!

5. The conditional probability of A given B is a. 0.5. b. 0.3. C. 0.2. d. 1/6. e. cannot be determined from the information given. v 6. Experience has shown that a certain lie detector will show a positive reading (indicates a lie) 10% of the time when a person is telling the truth and 95% of the time when a person is lying. Suppose that a random sample of 5 suspects is subjected to a lie detector test regarding a recent one-person crime. Then the probability of observing no positive reading if all suspects plead innocent and are telling the truth is a. 0.409 b. 0.735 C. 0.00001 d. 0.590 e. 0.99999 v 7. If you buy one ticket in the Provincial Lottery, then the probability that you will win a prize is 0.11. If you buy one ticket each month for five months, what is the probability that you will win at least one prize? a. 0.55 b. 0.50 C. 0.44 d. 0.45 e. 0.56 8. Suppose that A and B are two independent events with P(A) = .2 and P(B) = .4. P(An B) is a. 0.08. b. 0.12. C. 0.52. d. 0.60