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, 0, 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 O 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(1-1)² 0 O C. $9(1-y)ºdy= J 9(1-y)Ⓡdy = dy =
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, 0, 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 O 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(1-1)² 0 O C. $9(1-y)ºdy= J 9(1-y)Ⓡdy = dy =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 29CR
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![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)=
1- / 911-
9(1-y)³, 0≤y≤1,
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.
0₁
O C.
O A. The given function is a valid density function because
0
€$9(₁.
O 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
9(1 - y) dy =
9(1 - y) dy =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe71f676-9af4-4d7d-a68e-9fb7e89d2db6%2F87df208a-27c3-421d-88b4-53c38cfd1209%2Ftm5ekba_processed.png&w=3840&q=75)
Transcribed Image Text: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)=
1- / 911-
9(1-y)³, 0≤y≤1,
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.
0₁
O C.
O A. The given function is a valid density function because
0
€$9(₁.
O 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
9(1 - y) dy =
9(1 - y) dy =
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