Question

Suppose that the p.d.f of a random variable X is as follows: f(x) = { c/(1−x)^1/2...

Suppose that the p.d.f of a random variable X is as follows:

f(x) = { c/(1−x)^1/2 for 0 < x < 1

{ 0 otherwise

• Find the value of the constant c that makes f a valid probability density function. Sketch it.

• Find the value of P(X ≤ 1/2)

Math   Statistics-And-Probability   
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