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Verify that the above is a valid density function. A batch is considered not sellable and then not acceptable if the percentage of impurities exceeds 60%. With the current quality of the process, what is the percentage of batches that are not acceptable?

Verify that the above is a valid density function. A batch is considered not sellable and then not acceptable if the percentage of impurities exceeds 60%. With the current quality of the process, what is the percentage of batches that are not acceptable?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3.73 Impurities in a batch of final product of a chem- ical process often reflect a serious problem. From con- siderable plant data gathered, it is known that the pro- portion Y of impurities in a batch has a density func- tion given by S10(1 – y)°, 0<y<1, f(y) 10, - elsewhere. (a) Verify that the above is a valid density function. (b) A batch is considered not sellable and then not acceptable if the percentage of impurities exceeds 60%. With the current quality of the process, what is the percentage of batches that are not acceptable?
Transcribed Image Text:3.73 Impurities in a batch of final product of a chem- ical process often reflect a serious problem. From con- siderable plant data gathered, it is known that the pro- portion Y of impurities in a batch has a density func- tion given by S10(1 – y)°, 0<y<1, f(y) 10, - elsewhere. (a) Verify that the above is a valid density function. (b) A batch is considered not sellable and then not acceptable if the percentage of impurities exceeds 60%. With the current quality of the process, what is the percentage of batches that are not acceptable?
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