1. The probability density function of the life span of a battery is given by the function below, where t is in years. 1.25e-1.25t ift >0 f (t) = {0 if t < 0 a.) Verify that f(t) is a probability density function. b.) What is the probability that a battery will have a life span less than 10 months? c.) What is the probability that a battery will have a life span more than 2 years?

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