5) Normal Distribution A soft drink machine is calibrated to dispense an average of 200 milliliters (ml) per cup. The amount of beverage dispensed is normally distributed with a standard deviation of 10 mL. a) What is the probability that a random cup will contain exactly 200 mL? b) What is the probability that a random cup will contain less than 180 mL? c) What is the probability that a random cup will contain between 200 and 210 mL?
5) Normal Distribution A soft drink machine is calibrated to dispense an average of 200 milliliters (ml) per cup. The amount of beverage dispensed is normally distributed with a standard deviation of 10 mL. a) What is the probability that a random cup will contain exactly 200 mL? b) What is the probability that a random cup will contain less than 180 mL? c) What is the probability that a random cup will contain between 200 and 210 mL?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:e) The manufacturers want to advertise the accuracy of their soft drink machines. They want
to claim that 90% of cups will contain 200 ±d mL of soft drink. What is d?
f) The machine is installed in a fast-food restaurant where employees wear roller-skates to
bring food to customers' cars. A new employee isn't very comfortable on roller-skates yet
and spills 40% of the drinks she carries. If she delivers 100 drinks to customers on a random
day, what is the probability she spills fewer than 30 of them? Solve using the normal
approximation to the binomial distribution.
Transcribed Image Text:5) Normal Distribution
A soft drink machine is calibrated to dispense an average of 200 milliliters (mL) per cup. The
amount of beverage dispensed is normally distributed with a standard deviation of 10 mL.
a) What is the probability that a random cup will contain exactly 200 mL?
b) What is the probability that a random cup will contain less than 180 mL?
c) What is the probability that a random cup will contain between 200 and 210 mL?
d) What is the probability that a random cup will contain more than 225.5 mL?
6
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