A pharmaceutical company produces a drug based on a chemical Amethanol. The strength of a unit of a drug is taken to be – In (1– x) where 0

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter15: Roots
Section: Chapter Questions
Problem 39A
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A pharmaceutical company produces a drug based on a chemical
Amethanol. The strength of a unit of a drug is taken to be – In (1 – x) where 0 <x <1
is the portion of Amethanol in the unit and 1-x that of an added placebo substance.
You test a sample of three units taken from a large container filled with the Amethanol
powder and the added substance in an unknown proportion. The container is thoroughly
shaken up before each sampling.
Find the CDF of the strength of each unit and the CDF of the minimal strength.
Transcribed Image Text:A pharmaceutical company produces a drug based on a chemical Amethanol. The strength of a unit of a drug is taken to be – In (1 – x) where 0 <x <1 is the portion of Amethanol in the unit and 1-x that of an added placebo substance. You test a sample of three units taken from a large container filled with the Amethanol powder and the added substance in an unknown proportion. The container is thoroughly shaken up before each sampling. Find the CDF of the strength of each unit and the CDF of the minimal strength.
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