(a) For what value of > 0 is the function f(x) = x -2 u(x -...

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(a) For what value of α > 0 is the function 

f(x) = αx-2u(x - α)

a probability-density function? Use a sketch to illustrate your reasoning and recall that a pdf has to integrate to one. [u(x) is the unit step function.]
(b) Find the corresponding cumulative-distribution function.
(c) Compute P(X ≥ 10).

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