The shelf life (in years) of a laser pointer battery is a continuous random variable with probability density function

(A) Find the probability that a randomly selected laser pointer battery has a shelf life of 3 years or less.
(B) Find the probability that a randomly selected laser pointer battery has a shelf life of from 3 to 9 years.
(C) Graph y = f(x)for [0,10] and show the shaded region for part (A).

Transcribed Image Text:

f(x) = {1/(x + 1)2 1/x if 0 otherwise