The packaging process in a breakfast cereal company has been adjusted so that an average of μ=12.0 oz of cereal is placed in each package. Of course, not all packages have precisely 12.0 oz because of random sources of variability. The standard deviation of the actual net weight is σ=0.2 oz, and the distribution of weights is known to follow the normal probability distribution. Determine the probability that a randomly chosen package will contain between 13.0 and 13.2 oz of cereal and illustrate the proportion of area under the normal curve which is associated with this probability valu

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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The packaging process in a breakfast cereal company has been adjusted so that an average of
μ=12.0 oz of cereal is placed in each package. Of course, not all packages have precisely 12.0 oz because of random sources of variability. The standard deviation of the actual net weight is
σ=0.2 oz, and the distribution of weights is known to follow the normal probability distribution. Determine the probability that a randomly chosen package will contain between 13.0 and 13.2 oz of cereal and illustrate the proportion of area under the normal curve which is associated with this probability value.

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