A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, wheret is time in months. - 0.01t if t20 0.012e f(t) = otherwise What is the probability that a buyer chosen at random will have a product failure (A) During the warranty? (B) During the second year after purchase? ... (A) What is the probability that the product will fail within one year? (Round to three decimal places as needed.) (B) What is the probability that the product will fail during the second year after purchase? (Round to three decimal places as needed.)

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