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 stand deviation of 0.4 ounce. Examine...

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 standard deviation of 0.4 ounce. Examine the figure below and answer the following questions.

Extracted text: 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 stand deviation of 0.4 ounce. Examine the figure below and answer the following questions. Area Under a Normal Curve 2.35% 13.5% 34% 34% 13.5% 2.35% u - 30 u - 20 μ+2σ μ+ 3 68% 95% 99.7% (a) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) (b) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) (c) The machine has just been loaded with 800 cups. How many of these cups do you expect will overflow when served? cups