SOLUTION: The number of candies put in each package is normally distributed. The mean number of candies per package is 200 with a standard deviation of 10. A package of candies will be accep

Question 866978: The number of candies put in each package is normally distributed. The mean number of candies per package is 200 with a standard deviation of 10. A package of candies will be accepted only if there are between 175-200 candies in the package. Out of 5000 packages, about how many will have to be rejected?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The number of candies put in each package is normally distributed. The mean number of candies per package is 200 with a standard deviation of 10. A package of candies will be accepted only if there are between 175-200 candies in the package. Out of 5000 packages, about how many will have to be rejected?
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z(175) = (175-200)/10 = -25/10 = -2.5
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z(200) = 0
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P(x < 175) = P(z < -2.5) = 0.0062
P(x > 200) = P(z > 0.5) = 0.5
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Sum = 0.5062
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# rejected = 0.5062*5000 = 2531
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Cheers,
Stan H.
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