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An orange juice producer buys all his oranges from a large orange grove. The amount of juice squeezed from each orange is approximately normally distributed with a mean of 135 mL and a standard deviation of 12 mL.

a. What is the probability that a randomly selected orange will contain between 135 mL and 140 mL?

b. What is the probability that a randomly selected orange will contain between 140 mL and 155 mL?

c. 77% of the oranges will contain at least how many millilitres of juice?

d. 80% of the oranges are between what two values (in millilitres) symmetrically distributed around the population mean?

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