The lifetime of an automatic transmission produced by the BW Company is normally distributed with a mean of 100,000 miles and a standard deviation of 20,000 miles.
a. What is the probability that the transmission will have a lifetime of at least
b. What is the probability that the transmission will have a lifetime of at least 60,000
c. What is the probability that the transmission will have a lifetime between 75,000 and
d. How many lifetime miles should BW guarantee if the company desires 97 percent of its
transmissions to meet the guarantee?
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