SOLUTION: the weights of a certain vegetable are uniformly distributed between 5.0 and 16.0 ounces. Find the probability that a randomly selected fruit weighs more than 13.2 ounces?

Question 518710: the weights of a certain vegetable are uniformly distributed between 5.0 and 16.0 ounces. Find the probability that a randomly selected fruit weighs more than 13.2 ounces?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the weights of a certain vegetable are uniformly distributed between 5.0 and 16.0 ounces. Find the probability that a randomly selected fruit weighs more than 13.2 ounces?
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Find the standard deviation:
6*sigma = (16-5)
sigma = 11/6
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Mean = (16+5)/2 = 21/2 = 10.5
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z(13.2) = (13.2-10.5)/(11/6) = 1.47
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P(x > 13.2) = P(z > 1.47) = 0.0708
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Cheers,
Stan H.
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