3.6 The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function f(x) = { 20,000 (x+100)³, 0, x > 0, elsewhere. Find the probability that a bottle of this medicine will have a shell life of (a) at least 200 days; (b) anywhere from 80 to 120 days.
3.6 The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function f(x) = { 20,000 (x+100)³, 0, x > 0, elsewhere. Find the probability that a bottle of this medicine will have a shell life of (a) at least 200 days; (b) anywhere from 80 to 120 days.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 22E
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Question
![3.6 The shelf life, in days, for bottles of a certain
prescribed medicine is a random variable having the
density function
f(x):
=
20,000
(x+100)³,
0,
x > 0,
elsewhere.
Find the probability that a bottle of this medicine will
have a shell life of
(a) at least 200 days;
(b) anywhere from 80 to 120 days.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe151ea5f-eae0-4836-9ec6-50362bc6eb0c%2F441d0274-f4eb-4147-b26b-2fe740204acf%2F6wizw8i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.6 The shelf life, in days, for bottles of a certain
prescribed medicine is a random variable having the
density function
f(x):
=
20,000
(x+100)³,
0,
x > 0,
elsewhere.
Find the probability that a bottle of this medicine will
have a shell life of
(a) at least 200 days;
(b) anywhere from 80 to 120 days.
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