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5. Let X be a continuous random variable with PDF fX(x)= c(2+x), −2 < x <...

5. Let X be a continuous random variable with PDF

fX(x)= c(2+x), −2 < x < −1,

c(2−x), 1<x<2,

0, elsewhere

(a) Find the value of c such that fX(x) is indeed a PDF.

(b) Determine the CDF of X and sketch its graph.

(c) Find P(X < 1.5).

(d) Find m = π0.5 of X. Is it unique?

Math   Statistics-And-Probability   
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