SOLUTION: Replacement times for new Ford Taurus GL automobiles are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years. Find the probability that seven random

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Question 70054: Replacement times for new Ford Taurus GL automobiles are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years. Find the probability that seven randomly selected Taurus GL automobiles will have a mean replacement time greater than 7.0 years.
get z=.071 a=4721 and .5279
Answer by stanbon(75887) About Me  (Show Source):
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Replacement times for new Ford Taurus GL automobiles are normally distributed with a mean of 7.1 years and a standard deviation of 1.4 years. Find the probability that seven randomly selected Taurus GL automobiles will have a mean replacement time greater than 7.0 years.
get z=.071 a=4721 and .5279
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z(7)=[7-7.1]/(1.4/sqrt7) = -0.18898
Prob(X>7)= Prob(z>-0.18898)=0.5749 or 57.49%
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Cheers,
Stan H.