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WorkedProblems03

# WorkedProblems03 - A U B the union of events A and B(A or B...

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CHAPTER 3: Probability 3.1 Experiment—Any process of observation that has an uncertain outcome. Event—A set of sample space outcomes. Probability—The probability of an event is the sum of the probabilities of the sample space outcomes or the long-run relative frequency of an event. Sample Space—The set of all possible experimental outcomes. 3.2 The probability of an outcome must be between 0 and 1. The probabilities of all the experimental outcomes must sum to 1. 3.6 a. (1) 49.0/599.4 = .0817 or 8.17% for 2005 (2) 37.9/571.7 = .0663 or 6.63% for 2006 b. listening numbers dropped by 1.54% from 2005 to 2006 c. 1 – (83.3/571.7) = 1-.1457 = .8543 or 85.43% d. CJBXFM of 2.6% increase from 2005 to 2006 (13.7-11.1) 3.8 Events are mutually exclusive if they have no sample space outcomes in common. The two events cannot occur simultaneously. 3.9 Complement of A: Event A does not occur

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Unformatted text preview: A U B: the union of events A and B (A or B) A ∩ B: the intersection of events A and B (A and B) A-bar ∩ B-bar: Event A does not occur and Event B does not occur 3.14 a. 151 300 = .503 b. c. d. e. 3.15 a. (100.5 + 83.3) / 571.7 = .3215 b. 1 – (100.5 + 83.3 + 85.3 + 78.1 + 80.5)/571.7 = 1-.7481 = .2519 c. 27.8% (information is given in Example 3.5 on page 91) d. (14.6 + 38.8 + 37.9)/571.7 = .1597 3.16 See page 101 in text; explanations will vary. 3.17 Events are independent if the outcome of one does not affect the outcome of the other. 3.26 a. .820 – .793 = .027 difference b. =-) 24 21 age 5 or 4 ( P 832 . 101 36 48 = + =-) 34 25 age 5 or 4 ( P 829 . 123 36 66 = + =-) 49 5 3 age 5 or 4 ( P 737 . 76 19 37 = + Most appealing: age 21–24 Least appealing: age 35–49 3.33 To update probabilities based on new information....
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WorkedProblems03 - A U B the union of events A and B(A or B...

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