SOLUTION: A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows the mean is 8.4 hours and the standard deviation is 1.8 hours. Fin
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Question 1205164: A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows the mean is 8.4 hours and the standard deviation is 1.8 hours. Find the probability that a randomly selected mechanic has a rebuild time more than 8 hours. Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! mean is 8.4 hours
standard deviation is 1.8 hours.
probability of randomly selected mechanic has a rebuild time greater than 8 hours?
use the z-score.
z = (x-m)/s
z is the z-score
x is the random mechanic time.
m is the mean
s is the standard deviation.
formula becomes z = (8 - 8.4) / 1.8 = -.2222
area to the right of that z-score is equal to .5879.
that's the probability that the randomly selected mechanic will take more than 8 hours to rebuild the transmission.
here's what it looks like on a graph using z-scores.
here's what it looks like on a graph using raw scores.
when using z-scores, the mean is 0 and the standard deviation is 1.
when using raw scores, the mean is what it is and the standard deviation is what it is .
