Part 1: Multiple Choice. (2 points each) Circle the letter corresponding to the best answer. 1. Suppose that in a certain part of the world, in any 50-year period the probability of a major plague is .38, the probability of a major famine is .55, and the probability of both a plague and famine is .27. What is the probability of a plague given the fact that there is a famine? a. .21 b. .22 C. .49 d. .71 e. .59 deck? 2. What is the probability of drawing a heart or a king on a single draw from a standard a. .02 b. 17 52 C. = 31% d. .08 e. .25 3. There are 30 kids in a classroom. Mr. Reinke is going to pick 4 of them to go down to the office to pick up supplies. How many different groups of four individuals can he choose? a. 657,720 b. 870 c. 27,405 d. 4060 e. 120 4. 23% of US citizens smoke cigarettes. 62% of individuals who smoke develop some sort of lung condition as compared to 13% of non-smokers. Given the fact that a randomly chosen individual has a lung condition, what is the probability that they are a smoker? a. .59 b. .14 C. .62 d. .37 e. .53 5. A slot machine has three wheels (slots) that spin independently of one another. Each has 12 equally likely symbols: 5 bars, 3 lemons, 2 cherries, and 2 bells. You are a winner if you get three bells. If you play, what is the probability of getting three bells. a. .58 b. .00058 C. .0046 d. .167 e. Cannot be determinedPart 2: Free Response Communicate your thinking clearly and completely 6. In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and the passive approach. From 1160 customers, the following record was kept: (9 points) Sale No Sale Total Aggressive 270 310 580 Passive 416 164 580 Total 686 474 1160 a. What is the probability of using the aggressive approach and getting a sale? (3 points) b. What is the probability of getting a sale or using a passive method? (3 points) sale? (3 points) c. Suppose a sales representative was passive. What is the probability that they got a omoe goloveb Aquiz women. 7. The qualified applicant pool for three management positions consists of 8 men and 6 a. How many different groups of 3 can be selected from this pool? (2 points) fled soult siteto b. How many different groups can be entirely women? (2 points) c. Use the two values above to find the probability of all three applicants being female. (2 points)