2. If a gambler rolls two dice and gets a sum of 10 he wins $10 and if he gets a

2. If a gambler rolls two dice and gets a sum of 10 he wins $10 and if he gets a sum of three he wins $20. The cost to play the game is $5. What is the expectation of this game? (choice) a. $3.06 b. -$2.78 c. -$3.06 d. 2.78 3. A coin is tossed five times. Find the probability of getting exactly three heads. (choice) a. 0.3750 b. 0.1563 c. 0.2500 d. 0.3125 4. Find the mean of the distribution shown. x 0 3 5 P(x) 0.26 0.48 0.26 (choice) a. 1.30 b. 2.00 c. 2.74 d. 3.00 5. A university has 10000 students of which 4000 are male and 6000 are female. If a class of 30 students is chosen at random from the university population find the mean and variance of the number of male students. (Choice) a. Mean = 15 Variance = 15 b. Mean = 12 Variance = 7.2 c. Mean = 9 Variance = 3.6 d. Mean = 7.2 Variance = 12 6. The staff at a small company includes: 4 secretaries 20 technicians 4 engineers 2 executives and 50 factory workers. If a person is selected at random what is the probability that he or she is a factory worker? (Choice)a. 14 b. 18c. 58d. 257. If a single card is drawn from an ordinary deck of cards what is the probability of drawing either a heart or a 6? (Choice)a. 1752b. 413c. 926d. 5138. Fizz fizz soda comes in two varieties regular and diet. If a researcher has 8 boxes of each how many ways can he select 2 boxes of each for a quality control test? (Choice) a. 784 b. 224 c. 447 d. 16 9. A certain system has two components. There are 10 different models of the first component and 12 different of the second. Any first component can be paired with any second component. A salesman must select 2 of the first component and 3 of the second to take on a sales call. How many different sets of components can the salesman take? (Choice) a. 10C2 x 12C3 b. 10C5 x 12C5 c. 10P2 x 12P3 d. 10P5 x 12P5 10. If a menu has a choice of 4 appetizers 4 main courses and 3 desserts then the sample space for all possible dinners has how many outcomes? (Points: 1) a. 3 b. 16 c. 28 d. 48