3. (15 pts) A tire manufacturer designed a new tread pattern for its all-weather tires. Repeated tests were conducted on

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3 15 Pts A Tire Manufacturer Designed A New Tread Pattern For Its All Weather Tires Repeated Tests Were Conducted On 1 (59.91 KiB) Viewed 106 times

3. (15 pts) A tire manufacturer designed a new tread pattern for its all-weather tires. Repeated tests were conducted on cars of approximately the same weight traveling at 60 miles per hour. The tests showed that the new tread pattern enables the cars to stop completely in an average distance of 125 feet with a standard deviation of 6.5 feet and that the stopping distances are approximately normally distributed. (a) What is the 70th percentile of the distribution of stopping distances? (b) What is the probability that at least 2 cars out of 5 randomly selected cars ... in the study will stop in a distance that is greater than the distance calculated in part (a)? (c) What is the probability that a randomly selected sample of 5 cars ... in the study will have a mean stopping distance of at least 130 feet?