What is the probability that a buyer chosen at random will, Project Management

What is the probability that a buyer chosen at random will

A manufacturer guarantees a product for 1 year. The time to failure of the product after it is sold is given by the probability density function

where t is time in months. What is the probability that a buyer chosen at random will have a product failure

(A) During the warranty period?

(B) During the second year after purchase?

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