Paige D.

asked • 12/21/14

Statistic Help, and I need it fast

A tire manufacturer designed a new trend pattern for its weather tires. Repeatered test were conducted on cars of approximately the same weight traveling at 60 miles per hour. The test showed that the new trend pattern enables the cars to stop completely in an average distance of 125 feet with a standard deviation of 6.5 feet and the stopping distance 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?

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