The life (in months) of a certain electronic computer part has a probability density function defined by f (1) = - * for t in [0, co). Find the probability that a randomly selected component will last the following lengths of time. Complete parts (a) through (d). a. At most 24 months The probability that the component will last at most 24 months is]. (Round to four decimal places as needed.) b. Between 16 and 20 months The probability that the component will last between 16 and 20 months is (Round to four decimal places as needed.) c. Find the cumulative distribution function for this random variable. F(1) = (Type an expression using t as the variable.) What is the domain of the cumulative distribution function? The domain is. (Type your answer in interval notation.) d. Use the answer to part (c) to find the probability that a randomly selected component will last at most 8 months. The probability that the component will last at most 8 months is. (Round to four decimal places as needed.)