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A vending machine automatically pours soft drinks into cups The amount of soft drink dispensed...

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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 1757 17 34 H 30 20 H 0 34 13 5 2 35 a Estimate the probability that the machine will overflow an 8 ounce cup Round your answer to two decimal places 84 13 x H 0 20 30 68 95 99 7 b Estimate the probability that the machine will not overflow an 8 ounce cup Round your answer to two decimal places 15 85 X M CURS c The machine has just been loaded with 900 cups How many of these cups do you expect will overflow when served

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