26. The Central Processing Unit (CPU) in a laptop computer that your company manufactures is known to have the following service life characteristics:

P xð Þ¼ >s þ tjx>s P xð Þ8 >t s and t >0 where outcomes, x, of the random variable X measure the operating life of the CPU, measured in 100,000 hour increments, until failure of the CPU. The engineers in your company tell you that EðXÞ ¼ 3.

(a) Define an appropriate probability model for the experiment of observing the operating life of the CPU until the point of failure.

(b) What is the probability that the CPU fails in the first 100,000 hours of use?