98Zexam2a-key

# 98Zexam2a-key - COURSE: MSCI 3700 Name: EXAM 2A Class start...

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COURSE: MSCI 3700 Name: EXAM 2A Class start time: 8:00 9:30 12:30 Circle class start time INSTRUCTOR: Dr. Spalding Student SS# SEMESTER: FALL, 1998 Student Signature

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Here is a game of chance: You flip a coin and if the coin is heads, you pick a ball out of Bag A which contains 3 red and 3 green balls. If the coin is tails, you pick a ball out of Bag B which contains 5 green balls and no red balls. If you get a green ball from whichever bag you select from, you win. Otherwise you lose. What is the probability that you win? A. 1/4 or 0.2500 B. 3/6 + (1/2) or 4/8 C. (1/2)x(3/6) + (1/2)x(5/5) = 0.75 D. 1/4 x (1/2) or 1/8 = 0.1250 E. 1 - 3/6 = 0.50 2. What is the expected payout to you in a game of chance if you win \$80 when you win, but you lose \$10 when you lose. The chance of you winning is 2/10. A. +\$80 (2/10) - \$10 (8/10) = +\$8.00 B. +\$80 (2/10) - \$40 (8/10) = \$16 - \$32 = -\$16.00 C. +\$60 (2/10) - \$10 (8/10) = \$40/10 = \$4.00 D. +\$80 (2/10) + \$10 (8/10) = \$240/10 = \$24.00 E. +\$60 (2/10) - \$60 (8/10) = -\$360/10 = -\$36.00 3. A married couple have decided to have four children. Suppose that the chance of having a girl is 0.49 and that the chance of having a boy is 0.51. Also assume that the chance of the second child being a boy or girl is not changed by the fact that the first child is a boy or a girl. Likewise for the third child and fourth. Find the probability that the four children are born in the following sequence: girl, girl, girl, boy; in that exact order. A. 0.940001 B. 0.24000 C. 0.06000 D. 0.0650 E. 0.26000 4. Suppose that 20% of all college students donate blood at college blood drives. In a random sample of 16 college students, what is the probability that between 1 and 4 ( inclusive ) students donate blood? A. 0.113
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## 98Zexam2a-key - COURSE: MSCI 3700 Name: EXAM 2A Class start...

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