Question: 2.3. (a) Plot the distribution function (b) Determine the corresponding density function f(x) in the three regions (i) x : 0, (ii) 0 (c) What

2.3.

(a) Plot the distribution function

F(x) = for x 0, for 0 < x < 1, for

(b) Determine the corresponding density function f(x) in the three regions (i) x : 0, (ii) 0

(c) What is the mean of the distribution?

(d) If X is a random variable following the distribution specified in (a), evaluate Pr{; X <_>

F(x) = for x 0, for 0 < x < 1, for x 1.

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