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The local grocery store sorted apples by size. The distribution is approximately normal. The large apples have a mean diameter of 10 cm with
Question
The local grocery store sorted apples by size. The distribution is approximately normal. The large apples have a mean diameter of 10 cm with standard deviation equal to 0.5 cm. In a bin of 100 large apples , how many can be expected to have a diameter greater than 11.5 cm, three standard deviations above the mean?
A. 10
B. 3
C. 30
D. 0
E. 50
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Mathematics
3 years
2021-08-21T20:35:30+00:00
2021-08-21T20:35:30+00:00 1 Answers
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Answer:
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Step-by-step explanation:
Approximately 0.2% of the apples will be more than three standard deviations above the mean size. In a bin of 100 apples, 0.2% of 100=0.2% apples, this rounds down to zero apples that size or larger. (In a bin of 500 apples, there could be one apple of that size.)