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SCENARIO 6-4 a Company Producing Orange Juice Buys All Its Oranges from Oranges

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SCENARIO 6-4
A company producing orange juice buys all its oranges from a large orange orchard. The amount of
juice that can be squeezed from each of these oranges is approximately normally distributed with a
mean of 4.7 ounces and some unknown standard deviation. The company's production manager
knows that the probability is 30.85% that a randomly selected orange will contain less than 4.5
ounces of juice. Also the probability is 10.56% that a randomly selected orange will contain more
than 5.2 ounces of juice. Answer the following questions without the help of a calculator, statistical
software or statistical table.
-Referring to Scenario 6-4, what is the probability that a randomly selected orange will contain
no more than 4.2 ounces of juices?

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