6. [2] 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, where t is time in months. f(t) = {0. (0.01e if t≥ 0 otherwise ,-0.012t What is the probability that a buyer chosen at random will have a product failure: a) During the warranty? Round answer to three decimal places.

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