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In: Statistics and Probability

Suppose that X has distribution function F (x) and probability densityf(x). Letα̸=0andβ∈R. (i) What is the...

Suppose that X has distribution function F (x) and probability densityf(x). Letα̸=0andβ∈R.

(i) What is the distribution function of eX?

(ii) What is the distribution function of the random variable αX + β?

(iii) What is the probability density function of the random variable αX + β?

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