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An orange juice producer buys only one kind of oranges. The amount of juice squeezed from...

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Basic Math

An orange juice producer buys only one kind of oranges. Theamount of juice squeezed from each of these oranges isapproximately normally distributed with a mean of 4.2 ounces and apopulation standard deviation of 1 ounce. If a sample of 100oranges 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)?Why or why not? Explain.

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