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Suppose that X is an exponential random variable with pdf f(x) = e^(-x),0<x<∞, and zero otherwise....

Suppose that X is an exponential random variable with pdf f(x) = e^(-x),0<x<∞, and zero otherwise.

a. compute the exact probability that X takes on a value more than two standard deviations away from its mean.

b. use chebychev's inequality to find a bound on this probability

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