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Please show all work.  An apple juice producer buys only one kind of apples. The amount of...

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Basic Math

Please show all work.  An apple juiceproducer buys only one kind of apples. The amount of juice squeezedfrom each of these apples is approximately normally distributedwith a mean of 4.2 ounces and a population standard deviation of 1ounce. If a sample of 100 apples is selected:

A. What is the probability that the average juice squeezed isless than 4.15 ounces?

B. What is the probability that the average juice squeezed ismore than 4.3 ounces?

C. What is the probability that the average juice squeezed isbetween 4.15 ounces and 4.3 ounces?

D. Do we need the Central Limit Theorem to solve A. and B.?Please explain.

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