A random variable X has the following pdf: f(x) = 9xe-3";x > (a) Calculate the expected value of the distribution, E(X).

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A random variable X has the following pdf:
f (x) = 9xe-3";x > 0
%3D
(a)
Calculate the expected value of the distribution, E(X).
(b)
Calculate the mode of the distribution (no need to show the second derivative).
Transcribed Image Text:A random variable X has the following pdf: f (x) = 9xe-3";x > 0 %3D (a) Calculate the expected value of the distribution, E(X). (b) Calculate the mode of the distribution (no need to show the second derivative).
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