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…

Impurities in batches of product of a chemical process reflect a serious problem. It is known that the proportion of impurities Y in a batch has the following density function. Complete parts (a) through (e) below. f(y)= 9(1-y), 0sy≤ 1, 9 = {901- elsewhere (a) Verify that the given function is a valid density function. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. »$9(1 – y)ºdy: O A. The given function is a valid density function because 9(1 - y) dy = B. The given function is a valid density function because it is at least O everywhere. The given function is a valid density function because it is at least 0 everywhere and because √9(1−y)³ 9(1-y) dy = 1. C. (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.)

Impurities in batches of product of a chemical process reflect a serious problem. It is known that the proportion of impurities Y in a batch has the following density function. Complete parts (a) through (e) below. f(y)= 9(1-y), 0sy≤ 1, 9 = {901- elsewhere (a) Verify that the given function is a valid density function. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. »$9(1 – y)ºdy: O A. The given function is a valid density function because 9(1 - y) dy = B. The given function is a valid density function because it is at least O everywhere. The given function is a valid density function because it is at least 0 everywhere and because √9(1−y)³ 9(1-y) dy = 1. C. (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.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

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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 proportion
of 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, fill
in the answer boxes within your choice.
O A. The given function is a valid density function because
B. 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 because
19(1−y)³
9(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.)

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