Let X be a random variable with PDF f(x) = c|x]a-le-A|=l. where a > 0 and...

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Let X be a random variable with PDF f(x) = c|x]a-le-A|=l. where a > 0 and A> 0. (a) Find c. (b) Identify the conditional distribution of X given X > 0. (c) Compute the nth moment of X. (d) Obtain the MGF of X. Let X be a random variable with PDF f(x) = c|x]a-le-A|=l. where a > 0 and A> 0. (a) Find c. (b) Identify the conditional distribution of X given X > 0. (c) Compute the nth moment of X. (d) Obtain the MGF of X.