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

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) (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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