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13.4 pg.861-867 #2-34 even. 2 ) Overlapping events have at least one common outcome while mutually exclusive events have no common outcomes. 4) Mutually Exclusive. 2 4 6. 5. 1 3. B = 5. A = Even. P(A or B) = P(A) + P(B) – P(A and B). 4. 2. 6. 3. +. -. =. =.
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2) Overlapping events have at least one common outcome while mutually exclusive events have no common outcomes 4) Mutually Exclusive 24 6 5 13 B = 5 A = Even P(A or B) = P(A) + P(B) – P(A and B) 4 2 6 3 + - = =
6) Overlapping 15 2 4 3 6 P(A or B) = P(A) + P(B) – P(A and B) + - = = 8) A P(A or B) = P(Even) + P(<5) – P(Even and <5) 4 7 2 + - = = 6 10 3 .7
10) Dependent (Since no replacement) P(A and B) = P(Letter O) * P(Letter B given Letter O Chosen) = * = 12) Dependent (Eating, so no replacement) P(A and B) = P(Dark) * P(Dark given Dark Chosen) * = = 2 1 2 12 21 42 90 15
14) P(Black or Queen) = P(Bl) + P(Qu) – P(Black Queen) + - = 16) P(King and Pawn) = P(King) * P(Pawn given King) * = = 18) P(Rain) = .7 P(Not Rain) = 1- P(Rain) 1 - .7 = .3 Chance of Not Raining 17 32 1 32 992 31
20) Even though they are chosen at the same time, choosing one tile affects the sample space of the other. Dependent. 6C2 = 15 combinations Chance of getting the combination “SD” 6* 5*4*3*2*1 6! (6-2)! 2! 4*3*2*1 * (2*1) 1 15
22) There are 30 minutes when the song of the day can be played. You are not listening for 20 minutes of them (5:00 to 5:20) P(Miss Song) = = There are 30 minutes when the trivia question could be asked. You are not listening for 5 minutes of them (5:15 to 5:20) P(Miss Trivia) = = * P(Miss BOTH) = 1 = = 9
24a) = .092 = 24b) P(Dog) + P(Cat) - P(Both) + - - + .305 + .368 – 0.092 = .581 # Cat Both # Dog D&C 81641 326591 81641 270658 Total 24c) They are related because part A has those who have both, while part B has cats or dogs. The people included in Part A are counted twice in Part B, so we must subtract the both group once. 887403 Total Total Total 887403 887403 887403
26) Event A = Temperature in the 39-52 F Range Event B = Annual precipitation in the 0-24 in. Range P(A or B) = P(A) + P(B) – P(A and B) - + = 28) Possible outcomes (2 coin outcomes) * (8 spinner outcomes) = 16 total 1H 2H 3H 4H 5H 6H 7H 8H 1T 2T 3T 4T 5T 6T 7T 8T 30) 35 57
2) A census is the WHOLE population while a sample is a portion of the population. 4) Population = Students at your schoolSample = Systematic (A rule is created to sample) 6) A - Info was being collected about the birds 8) Likely to be biased -Only nurses who access the website are able to participate, leading to results not representative of every nurse. 10) Potential Bias- It suggests it’s “easy” to shop online and “fun” to shop at the mall.Better question: “Do you prefer to shop online or at the mall?”
12) It is possible for both manufacturers to make this claim if a biased sampling technique is used for one or both surveys. 14) Biased – “Even Higher” suggests the prices are already high Better question: “Would you be willing to pay more for concert tickets to finance a new arena?” 16)Biased – “Sampling method was not given”The countries chosen may not truly be representative of the world 18) Randomized experimentIn the randomized experiment, the groups are more likely to be similar. The observational study, any occurrences of heart attack might be BECAUSE of their exercise habits.
20) 6.02, 6.15, 6.23, 6.51 22) Mean = (Sum / Total) (296 + 215 + 426 + 390 + 351 + 215 + 289) / 7 2182 / 7 = $311.71Median: Arrange in order 215, 215, 289, 296, 351, 390, 426 Mode: Number that occurs most = $215 24)
26) = 70 1680 24
