We know that x > 2 ( or : x ≠ +/- 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )
$\frac{(x-3)(x+2)}{(x-2)(x+2)}= \frac{x-3}{x-2}$

7 0

3 years ago

Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Dete

nikklg [1K]

Answer:

attached below

Step-by-step explanation:

Given : FX (x) = 3/4x (2-x) 0 ≤ x ≤ 2

a) Calculate the cumulative distribution function FX

Cdf =

attached below is the detailed solution

b) Let Y = √ X. determine CDF

attached below

c) calculate PDF

4 0

2 years ago