Metro by T-Mobile 29% 8:12 M3: Problem Set 2 Started: Apr 29 at 11:11am Quiz Instructions D Question 1 0 pts Suppose A and B are two events with probabilities: P(A) =. 40, P(B) =. 45, P(An B) =.25. Find the following: a) P(A UB). b ) P (AC ) . C) P(BC). HTML Editor B I U A V V: O OMetro by T-Mobile * 30 I 29% 8:12 D Question 2 0 pts Suppose A and B are two events with probabilities: P(A) = .30, P(B) = .45, P(An B) = .15. Find the following: a) P(A UB). b) P(AC). C) P(B). HTML Editor B I Y A GO V: O OMetro by T-Mobile 9 9 ... $ | 29% 8:13 D Question 3 0 pts Suppose A and B are two events with probabilities: P(AC) = .40, P(B) = .25, P(A U B) = .75. Find the following: a) P(An B). b) P(A). C) P(BC ) . d) P((An B) " ). HTML Editormy BIU A A V CO V: O OMetro by T-Mobile 9 9 ... $ | 28% 8:13 Question 4 0 pts Suppose A and B are two events with probabilities: P(A) = .50, P(B) = .40, P(An B) = .25. a) What is (A|B) ? b) What is (BIA) ? HTML Editors B I A V: 0 words OMetro by T-Mobile G $ 3 28% 8:13 Question 5 O pts Suppose A and B are two events with probabilities: P(A) = .45, P(B) = .55, P(An B) = .15. a) What is (A|B) ? b) What is (BIA) ? HTML Editor: B U A A V: 0 words O OMetro by T-Mobile $ 30 28% 8:13 D Question 6 0 pts Suppose A and B are two events with probabilities: P(A) = .25, P(B) = .35, P(An B) = .30. a) What is (A|B) ? b) What is (BIA) ? HTML Editor B I U A V V: 0 words O OMetro by T-Mobile $ 3 28% 8:13 D Question 7 0 pts Suppose A and B are two events with probabilities: P(A) = .30, P(B|A) = .40. What is (An B) ? HTML Editor: B U A A V V: O OMetro by T-Mobile 5 5 >3 1' .III 28%- 8:13 D Question 8 0 pts The probability that a certain type of light bulb will last 650 hours or more is .75. The probability that the light bulb will last 800 hours or more is .30. Suppose that the bulb is 650 hours old and is still working, what is the probability that the bulb will last at least 800 hours? HTMLEditor' i v I v 37% IEI % Metro by T-Mobile 5 5 >3 1' .al 28%- 8:13 D Question 9 0 pts Suppose that in a certain type of washing machine that the probability that a belt will fail is .03 and the probability that the agitator will fail is .01. The probability that the belt and the agitator will fail simultaneously is .008. Suppose that you discover that the belt in a washing machine failed, what is the probability that the agitator has also failed? HTMLEditor' i v I ' ER IEI %