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.)
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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