SOLUTION: The diameter of apples in a certain orchard are normally distributed with a mean of 5.55 inches and a standard deviation of 0.65 inches. Show all work.

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Question 363546: The diameter of apples in a certain orchard are normally distributed with a mean of 5.55 inches and a standard deviation of 0.65 inches. Show all work.
(A). What percentage of the apples in this orchard have diameters less than 5.8 inches?
(B). What percentage of the apples in this orchard are larger than 6.3 inches?
Could you explain the steps so I can understand?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
z%5B1%5D=%28x-mu%29%2Fsigma=%285.8-5.55%29%2F0.65=0.385
P%28z%5B1%5D%29=0.6497
65%
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z%5B2%5D=%286.3-5.55%29%2F0.65=1.154
P%28z%5B2%5D%29=0.876
87.6% of apples have diameter less than or equal to 6.3.
100%-87.6%=12.4% have diameters greater than 6.3.
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