The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function shown below. Find the probability that a bottle of this medicine will have a shelf life of (a) at least 50 days; (b) anywhere from 30 to 80 days. f(x) = 5,000 (x+50)³ , X>0 elsewhere
The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function shown below. Find the probability that a bottle of this medicine will have a shelf life of (a) at least 50 days; (b) anywhere from 30 to 80 days. f(x) = 5,000 (x+50)³ , X>0 elsewhere
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
Section13.3: Special Probability Density Functions
Problem 1E
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![The shelf life, in days, for bottles of a certain prescribed medicine is a random variable
having the density function shown below. Find the probability that a bottle of this
medicine will have a shelf life of (a) at least 50 days; (b) anywhere from 30 to 80 days.
f(x):
=
5,000
(x+50)³
3, X>0
elsewhere](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2F473f8166-80d0-4897-bc05-a05e2022ecb7%2Fratfo4ox_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The shelf life, in days, for bottles of a certain prescribed medicine is a random variable
having the density function shown below. Find the probability that a bottle of this
medicine will have a shelf life of (a) at least 50 days; (b) anywhere from 30 to 80 days.
f(x):
=
5,000
(x+50)³
3, X>0
elsewhere
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