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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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.
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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