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

step-by-step explanation:

the options are kind of confusing. i can tell you what i see going on here when i look at the graph.

the class and exam medians are closely related, and it looks like the low outlier on the exam did pull the median lower. [tex][/tex]