SOLUTION: The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the pr

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Question 934557: The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days?
Answer by stanbon(75887) About Me  (Show Source):
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The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days?
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z(10) = (10-14)/3 = -4/3
P(x < 10) = P(z < -4/3) = normalcdf(-100,-4/3) = 0.09121
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More than 21 days?
z(21) = (21-14)/3 = 7/3
P(x > 21) = P(z > 7/3) = normalcdf(7/3,100) = 0.00982
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Cheers,
Stan H.
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