Question: The life span of an electrical component has the exponential distribution with parameter λ = 0.013. Let X1, ... , X100 be a simple random sample of 100 life times of such components.
(a) What will be the approximate value of their average X¯?
(b) What can be said about the probability that X¯ will be within 15.38 units from the population mean? (Hint. The mean and variance of a random variable having the exponential distribution with parameter λ are 1/λ and 1/λ2, respectively.)