STAT 200 Week 3 Homework Problems.

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 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 84 62 46 34 47 27 Find the probability a person chooses a car for each of the given reasons. Total frequency = 84+62+46+34+47+27 = 300 The probability a person chooses a car for safety = 84/300 = 0.280 The probability a person chooses a car for reliability = 62/300 = 0.207 The probability a person chooses a car for cost = 46/300 = 0.153 The probability a person chooses a car for performance = 34/300 = 0.113 The probability a person chooses a car for comfort = 47/300 = 0.157 The probability a person chooses a car for 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