PROBLEM NUMBER 9 For a brand of light bulb, the probability density function of the life span of the light bulb is given by the function below, where t is in months. f(t) = {0.04e & ift 20 = < (a) Verify that f (t) is a probability density function. (b) What is the probability that a light bulb will have a life span less than 8 months? (c) What is the probability that a light bulb will have a life span more than 20 months?

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