Question: A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and a standard deviation of 0.4 ounces.

(a)Estimate the probability that the machine will overflow an 8-ounce cup.

(b) Estimate the probability that the machine will not overflow an 8-ounce cup.

(c) The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?

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