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 100 days; (b) anywhere from 30 to 60 days. f(x) = 5,000 (x+50) 0, 3, X>0 elsewhere (a) The probability of a shelf life of at least 100 days is (Type an integer or decimal rounded to three decimal places as needed.)

MATLAB: An Introduction with Applications
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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 100 days; (b)
anywhere from 30 to 60 days.
f(x)
=
5,000
(x+50)
0,
3, X>0
elsewhere
(a) The probability of a shelf life of at least 100 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 100 days; (b) anywhere from 30 to 60 days. f(x) = 5,000 (x+50) 0, 3, X>0 elsewhere (a) The probability of a shelf life of at least 100 days is (Type an integer or decimal rounded to three decimal places as needed.)
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