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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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 13PPS
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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?
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?
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: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.
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