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

A vending machine automatically pours soft drinks into cups. The amount 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 standard 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% -30 -20 +20 +30 68% 95% 99.7% (a) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.) 84.13 x (b) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.) 15.85 X (c) The machine has just been loaded with 900 cups. How many of these cups do you expect will overflow when served? 1757 17 4 CUPS

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