Let X be a continuous random variable with probability density function: fX(x) = ( 3 4 x (2 − x) 0 ≤ x ≤ 2 0 otherwise. (a) Determine the cumulative distribution function FX. (b) Let Y = √ X. Determine the cumulative distribution function FY . (c) Determine the probability density of Y

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

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.