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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 Total=300 Safety 84 300 =.28 =28% Reliability 62 300 =.21 =21% Cost 46 300 =.15 =15% Performance 34 300 =.11 =11% Comfort 47 300 =.16 =16% Looks 27 300 =.09 =.09% Find the probability a person chooses a car for each of the given reasons. 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 5865a 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 a.) Find the probability of picking a lens that is scratched or flaked. ( 5865 25981 ) +( 1992 25981 )−( 5865 25981 ) ∗( 1992 25981 )=0.285 b.) Find the probability of picking a lens that is the wrong PD or was lost in lab. ( 1398 25981 ) +( 976 25981 )−( 1398 25981 ) ∗( 976 25981 )=0.089 c.) Find the probability of picking a lens that is not scratched. 1−( 5865 25981 )=0.774 d.) Find the probability of picking a lens that is not the wrong shape. 1−( 1485 25981 )=0.943 [Show More]

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