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8. A brand of rice advertises on the bag that it contains 1kg of rice. The machine that pours the rice however, is not able to exactly pour 1000g each time, rather the actual weights of rice follow a normal distribution with mean set by the machine and standard deviation = 18. (a) Suppose that the machine is set so that the weights have a mean of 1015g. What is the probability that a randomly selected bag of rice will have less rice than advertised on the bag? (b) What mean value should the machine be set to so that it is expected that only 1% of bags will be underweight?

8. A brand of rice advertises on the bag that it contains 1kg of rice. The machine that pours the rice however, is not able to exactly pour 1000g each time, rather the actual weights of rice follow a normal distribution with mean set by the machine and standard deviation = 18. (a) Suppose that the machine is set so that the weights have a mean of 1015g. What is the probability that a randomly selected bag of rice will have less rice than advertised on the bag? (b) What mean value should the machine be set to so that it is expected that only 1% of bags will be underweight?

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
Section10.4: Distributions Of Data
Problem 19PFA
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8. A brand of rice advertises on the bag that it contains 1kg of rice. The machine that pours the rice however, is not able to exactly pour 1000g each time, rather the actual weights of rice follow a normal distribution with mean set by the machine and standard deviation = 18. (a) Suppose that the machine is set so that the weights have a mean of 1015g. What is the probability that a randomly selected bag of rice will have less rice than advertised on the bag? (b) What mean value should the machine be set to so that it is expected that only 1% of bags will be underweight?
Transcribed Image Text:8. A brand of rice advertises on the bag that it contains 1kg of rice. The machine that pours the rice however, is not able to exactly pour 1000g each time, rather the actual weights of rice follow a normal distribution with mean set by the machine and standard deviation = 18. (a) Suppose that the machine is set so that the weights have a mean of 1015g. What is the probability that a randomly selected bag of rice will have less rice than advertised on the bag? (b) What mean value should the machine be set to so that it is expected that only 1% of bags will be underweight?
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