The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density functi shown below. Find the probability that a bottle of this medicine will have a shelf life of (a) at least 600 days; (b) anywhere from 140 to 170 days. f(x) = 45,000 (x+150)³ 0, • x>0 elsewhere (a) The probability of a shelf life of at least 600 days is.

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 42E
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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 600 days; (b)
anywhere from 140 to 170 days.
f(x) =
45,000
(x+150)
3. X>0
elsewhere
(a) The probability of a shelf life of at least 600 days is.
(Type an integer or decimal rounded to three decimal places as needed.)
(b) The probability of a shelf life of anywhere from 140 to 170 days is
(Type an integer or decimal rounded to three decimal places as needed.)
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 600 days; (b) anywhere from 140 to 170 days. f(x) = 45,000 (x+150) 3. X>0 elsewhere (a) The probability of a shelf life of at least 600 days is. (Type an integer or decimal rounded to three decimal places as needed.) (b) The probability of a shelf life of anywhere from 140 to 170 days is (Type an integer or decimal rounded to three decimal places as needed.)
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