A soft drink vending machine is supposed to fill cups with pop. The cups hold exactly 8 oz of liquid. Suppose the actual amount dispensed by the machine follows a normal distribution with mean 7 oz. If it is found that exactly 4 percent of the cups overflow, what is the standard deviation of the normal distribution??

omg, please help.

1 answer

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 that the machine will:

a.) Dispense from 7.4 oz. to 7.7 oz.
b.) Dispense less than 7.0 oz.