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Chapter 3: Q10E (page 107)

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.

a. Find the value of the constant c and sketch the p.d.f.

b. Find the value of Pr(X 鈮� 1/2).

Short Answer

Expert verified

The value is 0.2928

Step by step solution

01

Given information

02

(a) Find the value of the constant c and draw the sketchStep-by-step solution

Put 1-x=t

-dx=dt

X=0 and t=1

X=1 and t=0

03

b) Find the value of the Pr (X ≤ 1/2).

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