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5. [3] The life expectancy (in years) for a particular brand of mictowave oven is...

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5. [3] The life expectancy (in years) for a particular brand of mictowave oven is a continuous random variable with the probability density function below. Find d such that the probobility of a randomly selected microwave oven iasting d years or less is 0.5. f(x)=f(x)={(x+4)24,0,ifx0otherwise 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)={0.01e0.012tift00otherwise 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. b) During the second year after purchase? Round answer to three decimal places

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