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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Refer to Problem 11.
a. Suppose that 6% of all automobile tires with the longest tread life have a tread life of at least x miles. Find the value of x.
b. Suppose that 2% of all automobile tires with the shortest tread life have a tread life of at most x miles. Find the value of x.
Problem 11:
In a National Highway Transportation Safety Administration (NHSTA) report, data provided to the NHSTA by Goodyear stated that the average tread life of properly inflated automobile tires is 45,000 miles (Source: http://www.nhtsa.dot.gov/cars/rules/rulings/TPMS_FMVSS_No138/part5.5.html). Suppose that the current distribution of tread life of properly inflated automobile tires is normally distributed with a mean of 45,000 miles and a standard deviation of 2360 miles.
a. Find the probability that a randomly selected automobile tire has a tread life between 42,000 and 46,000 miles.
b. What is the probability that a randomly selected automobile tire has a tread life of less than 38,000 miles?
c. What is the probability that a randomly selected automobile tire has a tread life of more than 50,000 miles?
d. Find the probability that a randomly selected automobile tire has a tread life between 46,500 and 47,500 miles.
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