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The working life (in years) of a certain type of machines is an exponential random variable...

The working life (in years) of a certain type of machines is an exponential random variable with parameter λ, which depends on the quality of its chip. Suppose that the quality of chips are random in a sense that λ is uniformly distributed between [0.5, 1].

1.Find the expected working life of a machine.

2.Find the variance of the working time of a machine.

Math   Statistics-And-Probability   
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