Question: 1.2.3 (a) Plot the distribution function (b) Determine the corresponding density function f .x/ in the three regions (1) x 0, (2) 0 x. (c)

1.2.3

(a) Plot the distribution function

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

(b) Determine the corresponding density function f .x/ in the three regions (1)
x 0, (2) 0 x.

(c) What is the mean of the distribution?

(d) If X is a random variable following the distribution specified in (a), evaluate Pr n 14 X 34 o .

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

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