I need help with part b please Impurities in batches of product of a chemical process reflect a serious problem. It is known that the proportionof impurities Y in a batch has the following density function. Complete parts (a) through (e) below.f(y) = 9(1-y)³, 0sy≤ 1,9 = {901-elsewhere(a) Verify that the given function is a valid density function. Select the correct choice below and, if necessary, fillin the answer boxes within your choice.O A. The given function is a valid density function becauseB. The given function is a valid density function because it is at least 0 everywhere.The given function is a valid density function because it is at least 0 everywhere and because19(1−y)³9(1-y) dy = 1.C.19(1-y)ºdy=\9(1-y) dy =(b) A batch is considered not sellable and then not acceptable if the percentage of impurities exceeds 60%.What is the probability that a batch is considered not acceptable (i.e., Y>0.6)?The probability is(Round to four decimal places as needed.)

Given the density function of Y is,(b) Here we need to find the probability that a batch is…

Answered: Impurities in batches of product of a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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