Tuesday, December 29, 2015

4.4. Lifetime of a certain hardware is a continuous random variable with density f(x) = K− x/50 for 0 < x < 10 years 0 for all other x (a) Find K. (b) What is the probability of a failure within the first 5 years? (c) What is the expectation of the lifetime?

4.4. Lifetime of a certain hardware is a continuous random variable with density
f(x) = K− x/50  for 0 < x < 10 years
0 for all other x
(a) Find K.
(b) What is the probability of a failure within the first 5 years?
(c) What is the expectation of the lifetime?



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