STAT 200 Week 3 Homework Problems

STAT 200 Week 3 Homework Problems. 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 chooses 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 27 Find the probability a person chooses a car for each of the given reasons. Total: 84+62+46+34+47+27=300 Safety: 84/300=0.28 Reliability: 62/300=0.2067 Cost: 46/300=0.1533 Performance: 34/300=0.1133 Comfort: 47/300=0.1567 Looks: 27/300=0.09 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 from CourseH on :08:53 GMT -05:00 Total: 25891 a.) Find the probability of picking a lens that is scratched or flaked. (5865/25891)+(1992/25891)-(5865/25891)*(1992/25891)=0.321 b.) Find the probability of picking a lens that is the wrong PD or was lost in lab. (1398/25891)+(976/25891)-(1398/25891)*(976/25891)=0.094 c.) Find the probability of picking a lens that is not scratched. 1-(5865/25891)=0.773 d.) Find the probability of picking a lens that is not the wrong shape. 1-(1485/25891)=0.943 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=0.0263 b.) Find the odds against winning if you pick the number 7. (1-0.0263/0.0263)=37.02=37 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? $38-$20=$18 profit 4.4.6 Find 10P6 10! / (10-6)! = /24 = 4.4.12 How many ways can you choose seven people from a group of twenty? 20! / 7!(20-7)! = 0 / 5040(0) = 77520 5.1.2 Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.) State the random variable. Random Variable x= number of heads H = heads T=tails b.) Write the probability distribution for the number of heads. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT Number of heads (x) 0 1 2 3 Probability (p) 1/8 3/8 3/8 1/8 c.) Draw a histogram for the number of heads. We offer online tutoring, help with assignments and essay writing for all Majors with a guaranteed pass. For assistance Tutor Lucas: +1 (775) 766-9089 /