Description
A company manufactures automobile transmissions. It has been determined that the lifetime (time until failure) of this transmission is normally distributed with an average of 78,000 miles and a standard deviation of 15,000 miles. What percentage of these transmissions will last at least 90,000 miles?
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Explanation & Answer
z = (90-78)/15
z = 12/15 = 4/5
P(X≥90,000)=1-P(X<90,000)
1-P(z<0.8)=1-0.7881=0.2119, or 21% :)
Tabulated values taken from a Z-chart.
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