A coffee dispensing machine used in cafeterias is set to dispense coffee with an average fill of 230ml and a standard deviation of 10ml per cup. Assume that the volume dispensed is normally distributed. For a randomly selected cup dispensed by the machine, what is the probability that : a. The cup is filled to more than 235ml? b. The cup is filled to between 235 and 245 ml? c. The cup is less than 220 ml full? d. If the company supplying the coffee would want only 15% of cups to exceed a given fill level, what level of fill (in ml) does this correspond to?
A coffee dispensing machine used in cafeterias is set to dispense coffee with an average fill of 230ml and a standard deviation of 10ml per cup. Assume that the volume dispensed is normally distributed. For a randomly selected cup dispensed by the machine, what is the probability that : a. The cup is filled to more than 235ml? b. The cup is filled to between 235 and 245 ml? c. The cup is less than 220 ml full? d. If the company supplying the coffee would want only 15% of cups to exceed a given fill level, what level of fill (in ml) does this correspond to?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question
A coffee dispensing machine used in cafeterias is set to dispense coffee with an
average fill of 230ml and a standard deviation of 10ml per cup. Assume that the
volume dispensed is
the machine, what is the
a. The cup is filled to more than 235ml?
b. The cup is filled to between 235 and 245 ml?
c. The cup is less than 220 ml full?
d. If the company supplying the coffee would want only 15% of cups to exceed a
given fill level, what level of fill (in ml) does this correspond to?
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