SOLUTION: The diameters in oranges in a certain orchard are normally distributed with a mean of 5.30 inches and a standard deviation of 0.40. What percentage of the oranges in this orchard

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Question 614104: The diameters in oranges in a certain orchard are normally distributed with a mean of 5.30 inches and a standard deviation of 0.40.
What percentage of the oranges in this orchard have diameters of less than 4.7 inches?
What percentage of the oranges in this orchard are larger than 5.10?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The diameters in oranges in a certain orchard are normally distributed with a mean of 5.30 inches and a standard deviation of 0.40.
What percentage of the oranges in this orchard have diameters of less than 4.7 inches?
z(4.7) = (4.7-5.3)/0.4 = -0.6/0.4 = -3/2
P(x < 4.7) = P(z < -3/2) = normalcdf(-100,-3/2) = 0.0668
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What percentage of the oranges in this orchard are larger than 5.10?
z(5.1) = (5.1-5.3)/0.4 = -0.2/0.4 = -1/2
P(x> 5.1) = P(Z > -1/2) = normalcdf(-1/2,100) = 0.6917
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Cheers,
Stan H.
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