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Answer on Abstract Algebra Question for randy

Question #5418
The number of boxes of Girl Scout cookies sold by each of the girl scouts in a Midwestern city
has a distribution which is approximately normal with mean  = 75 boxes and standard deviation
 = 30 boxes.

(a) Find the probability that a scout chosen at random sold between 60 and 90 boxes of cookies.





Expert's answer
<img src="data:image/png;base64,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" 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