SOLUTION: The monthly incomes of trainees at a local mill are normally distributed with a mean of $820 and a standard deviation of $125. What percentage of trainees earn less than $780 a mon

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Question 187099: The monthly incomes of trainees at a local mill are normally distributed with a mean of $820 and a standard deviation of $125. What percentage of trainees earn less than $780 a month?

Answer by stanbon(75887) About Me  (Show Source):
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The monthly incomes of trainees at a local mill are normally distributed with a mean of $820 and a standard deviation of $125. What percentage of trainees earn less than $780 a month?
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z(780) = (780-820)/125 = -0.32
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P(x < 780) = P(z < -0.32) = 0.3745
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The percentage that earned less than 760 = 37.45%
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Cheers,
Stan H.