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The lifetime of a machine part has a continuous distri- bution on the interval (0, 40) with probability density function f (x), where f (x)

The lifetime of a machine part has a continuous distri- bution on the interval (0, 40) with probability density function f (x), where f (x) is proportional to (10 + x)2 on the interval. (a) Calculate the probability that the lifetime of the machine part is less than 5

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