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Suppose X is a random variable with pdf f(x)= {c(1-x) 0<x<1 {0 otherwise where c >...

Suppose X is a random variable with pdf

f(x)= {c(1-x) 0<x<1

{0 otherwise

where c > 0.

(a) Find c.

(b) Find the cdf F ().

(c) Find the 50th percentile (the median) for the distribution.

(d) Find the general formula for F^-1 (p), the 100pth percentile of the distribution when 0 < p < 1.

Math   Statistics-And-Probability   
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