Explain the lifetime of an automatic transmission produced

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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 120,000 miles?

b. What is the probability that the transmission will have a lifetime of at least 60,000 miles?

c. What is the probability that the transmission will have a lifetime between 75,000 and 130,000 miles?

d. How many lifetime miles should BW guarantee if the company desires 97 percent of its transmissions to meet the guarantee?

Reference no: EM13204309

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