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STAT 200 Week 3 Homework Problems

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STAT 200 Week 3 Homework Problems 4.1.4 A project conducted by the Australian Federal Office of Road Safety asked people many questions about their cars. One question was the reason that a person c ... hooses a given car, and that data is in table #4.1.4 ("Car preferences," 2013). Table #4.1.4: Reason for Choosing a Car Safety Reliability Cost Performance Comfort Looks 84 62 46 34 47 27 Find the probability a person chooses a car for each of the given reasons. Safety: 84/300= 28% Reliability: 62/300= 21% Cost: 46/300= 15% Performance: 34/300= 11% Comfort: 47/300= 16% Looks: 27/300= 9% 4.2.2 Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a time period. Table #4.2.2 gives the defect and the number of defects. Table #4.2.2: Number of Defective Lenses Defect type Number of defects Scratch 5865 Right shaped – small 4613 Flaked 1992 Wrong axis 1838 Chamfer wrong 1596 Crazing, cracks 1546 Wrong shape 1485 Wrong PD 1398 Spots and bubbles 1371 Wrong height 1130 Right shape – big 1105 Lost in lab 976 Spots/bubble – intern 976 This study source was downloaded by 100000770861734 from CourseHero.com on 07-05-2021 07:21:28 GMT -05:00 https://www.coursehero.com/file/47606353/STAT-200-Week-3-Homework-Problems-3-1docx/ This study resource was shared via CourseHero.com a.) Find the probability of picking a lens that is scratched or flaked. A: 7,857/25,891 b.) Find the probability of picking a lens that is the wrong PD or was lost in lab. A: 2,374/25,891 c.) Find the probability of picking a lens that is not scratched. A: 20,026/25,891 d.) Find the probability of picking a lens that is not the wrong shape. A: 24,406/25,891 4.2.8 In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. a.) Find the probability of winning if you pick the number 7 and it comes up on the wheel. 1/38 chance b.) Find the odds against winning if you pick the number 7. 37/1 odds against winning c.) The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet? A: If you win, you gain of $19. If you lose, you lose 1$ expected value = 19(1/38) + (-1)(37/38) = -0.4736 The casino is making 47 cents profit on your $1 bet 4.4.6 Find 10P6 A: 10! / (10-6)! 10! / 4! 151,200 4.4.12 How many ways can you choose seven people from a group of twenty? C (n,r)= (n! / (r! (n-r)! ) C (20, 7) = (20! / (7! (20-7)! )= 77,520 [Show More]

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