Question: 1.5.3 Let X be an exponentially distributed random variable with parameter . Determine the mean of X (a) by integrating by parts in the definition

1.5.3 Let X be an exponentially distributed random variable with parameter . Determine the mean of X

(a) by integrating by parts in the definition in equation (1.7) with m D 1;

(b) by integrating the upper tail probabilities in accordance with equation (1.50).
Which method do you find easier?

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