PRINTABLE VERSION Quiz 9 Question 1 An experiment consists of selecting a letter at random from the letters in the word MISSISSIPPI and observing the outcomes. What is the appropriate sample space for this experiment? a) { M, S, S, I, P } b) { I, M, P, S } c) { I, S, P } d) { M, I, S, I, P } e) { M, I, S, P, P } f) None of the above. Question 2 Let S = {5, 6, 7, 8, 9, 10, 11} be a sample of an experiment and let X = {5, 8, 11}, Y = {6, 7, 9}, and Z = {5, 7, 9} be events. Which of the following statements is correct? a) X and Y are mutually exclusive events. b) Z and Y are mutually exclusive events. c) X and Z are mutually exclusive events. d) X and S are mutually exclusive events. e) X, Y, and Z are mutually exclusive events. f) None of the above. Question 3 Let S be any sample space, and E, F and G be any three events. Describe the event that E and F occur, and G does not occur. a) ( E ∪ Fc ) ∩ G b) ( E ∪ F ) ∩ G c) ( E ∪ F ) ∩ Gc d) ( E ∩ F ) ∪ Gc e) E ∩ F ∩ Gc f) None of the above. Question 4 According to data obtained from the National Weather Service 192 of the 382 people killed by lightning were men. Assume that this trend holds for the future. What is the probability that a person killed by lightning is a woman? a) 0.0026 b) 0.0052 c) 0.3345 d) 0.6655 e) 0.4974 f) None of the above. Question 5 If 1 card is drawn at random from a standard 52-card deck, what is the probability that the card drawn is a red card? a) 0.8333 b) 0.6250 c) 0.6667 d) 0.7500 e) 0.5000 f) None of the above. Question 6 An experiment with outcomes A, B, C, D, E, and F is described by the following table: Outcome A B C D E F Probability 1⁄ 100 1⁄ 50 9⁄ 100 9⁄ 100 3⁄ 5 19⁄ 100 Let n = { A, B }, and m = { C, E, F }. Determine P(n). a) 0.50 b) 0.38 c) 0.01 d) 0.48 e) 0.03 f) None of the above. Question 7 The following table shows the frequency of outcomes when two distinquishable coins were tossed 4,000 times. What is the estimated probability that heads comes up at least once? Outcomes HH HT TH TT Frequency 995 1,010 990 1,005 a) 0.7488 b) 0.4988 c) 0.2525 d) 0.2475 e) 0.0025 f) None of the above. Question 8 Three horses, call them A, B, and C, are going to race against each other. The probability that A will win the race is 1⁄ 3 and the probability that B will win the race is 1⁄ 4 . What is the probability that C will win the race? a) 0.5833 b) 0.7500 c) 0.0833 d) 0.6667 e) 0.4167 f) None of the above. Question 9 A person playing a certain lottery can win $100, $10, $1, can break even, or can lose $10. These five outcomes with their corresponding probabilities are given by the probability distribution in the following table: Winnings (outcome) $100 (A) $10 (B) $1 (C) $0 (D) -$10 (E) Probability 3⁄ 100 2⁄ 25 3⁄ 10 9⁄ 100 1⁄ 2 What is the probability that the person will win some money? a) 0.47 b) 0.41 c) 0.30 d) 0.42 e) 0.50 f) None of the above. Question 10 Four students are running for class president: Liz, Sam, Sue, and Tom. The probabilities of Sam, Sue, and Tom winning are 1⁄ 4 , 1⁄ 10 and 3⁄ 20 , respectively. What is the probability that Tom loses? a) 0.15 b) 1 c) 0.75 d) 0.20 e) 0.85 f) None of the above.

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