# statistics

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A vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8-oz cup. If the standard deviation of the amount of coffee dispensed is 0.4 oz and the amount is normally distributed, find the percent of times the machine will

a) dispense less than 7.0 oz.

b) result in the cup overflowing (therefore dispense more than 8 oz).

• statistics -

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores. Multiply the proportion by 100 to get the percentage.

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