The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having
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Question:
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 60 days.
f(x) = [ 5000 \ (x + 50) 3 , x > 0
0, elsewhere
(a) the probability of a shelf life of at least 50 days is ?
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