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let X be a random variable that denotes the life (or time to failure) in hours...

let X be a random variable that denotes the life (or time to failure) in hours of a certain electronic device. Its probability density function is given by

f(x){ 0.1 e−0.1x, x > 0 , 0 , elsewhere

(a) What is the mean lifetime of this type of device?

(b) Find the variance of the lifetime of this device.

(c) Find the expected value of X2 − 20X + 100.

Math   Statistics-And-Probability   
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