Solved: The shelf life, in days, for bottles of a certain

Chapter 4, Problem 3.6

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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 f(x)= 20,000 (x+100)3 , x > 0, 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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QUESTION:

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 , x > 0, 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.

ANSWER:

Step 1 of 3

The density function is given as:

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