Chap003_solutions - Chapter 3 Probability CHAPTER...

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Chapter 3: Probability 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. 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. 3.3 a. b. (1) AA (2) AA , BB , CC (3) AB , AC , BA , BC , CA , CB (4) AA , AB , AC , BA , CA (5) AA , AB , BA , BB c. Each outcome has probability (1) (2) (3) (4) (5) 31
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Chapter 3: Probability 3.4 a. b. (1) BBB , GGG (2) BGG , GBG , GGB (3) GBB , BGB , BBG (4) BBB c. Each outcome has probability (1) (2) (3) (4) 3.5 a. Sample space outcomes: PPPP , PPPN , PPNP , PPNN , PNPP , PNPN , PNNP , PNNN , NPPP , NPPN , NPNP , NPNN , NNPP , NNPN , NNNP , NNNN b. (1) PPPN , PPNP , PNPP , NPPP (2) PPNN , PNPN , PNNP , PNNN , NPPN , NPNP , NPNN , NNPP , NNPN , NNNP , NNNN (3) All outcomes except NNNN (4) PPPP , NNNN c. Each outcome has probability (1) (2) (3) (4) 3.6 a. b. c. d. 32 257 ) 5528 )( 046566265 (. 046566265 . 000 , 300 , 8 500 , 386 = =
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Chapter 3: Probability e. 3.7 The sum of the probabilities of the individual outcomes sum to 1. P ( E ) = 1 – (.2 + .15 + .3 + .2) = .15 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 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 B: Event A does not occur and Event B does not occur 3.10 a. R = all diamonds and hearts B = all clubs and spades A = there are 4 aces, one of each suit N = there are 4 nines, one of each suit D = all diamonds, 13 cards C = all clubs, 13 cards b. (1) R and A are not mutually exclusive because there is an ace of diamonds and an ace of hearts. (2) R and C are mutually exclusive because clubs are black. (3) A and N are mutually exclusive because there are no aces that are also nines. (4) N and C are not mutually exclusive because there is a nine of clubs. (5) D and C are mutually exclusive because there are no diamonds that are also clubs. 3.11 a. (1) (2) (3) b. M Total V 1,000 3,000 4,000 1,500 4,500 6,000 Total 2,500 7,500 10,000 c. (1) (2) (3) 3.12 There are 24 total cards. a. 33 336 ) 5528 )( 060855422 (. 060855422 . 000 , 300 , 8 100 , 505 = =
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Chapter 3: Probability b. c. d. e. Yes, no; A jack and an ace cannot occur in a single draw, where a jack and a spade can occur simultaneously. 3.13
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This note was uploaded on 06/08/2008 for the course STATISTICS 533 taught by Professor Bientemma during the Spring '08 term at DeVry Addison.

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Chap003_solutions - Chapter 3 Probability CHAPTER...

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