Probability Question about CDFs

  • #1
Just wondering if someone could help me out on a problem. i mean PDFs, not CDFs in the title. Soz

Thanks in advance.

<_ means greater and equal to

Well, if we give Z to be a random varible with a pdf of:

pdf of Z = (5/2)*z^3 if -1<_ z _> 1
0 otherwise

Suppose that X = 2-Z^2

What is the pdf of X?
 

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2
what do you think? the idea is to have a go and get some help with your work...
 
  • #3
well if i first find the CDF of FX(x) then um, try plugging it in to find the probablility of y<_y?
 
  • #4
statdad
Homework Helper
1,495
35
The notation [tex] -1 \le z \ge 1 [/tex] doesn't make any sense. do you mean [tex] -1 \le z \le 1 [/tex]?
 
  • #5
yes i do mean [tex]
-1 \le z \le 1
[/tex]

can u help me on the question?
 
  • #6
lanedance
Homework Helper
3,304
2
well if i first find the CDF of FX(x) then um, try plugging it in to find the probablility of y<_y?
ok so what is y & what do you plan to "plug-in"?

Based on the question, I would use the known CDF/PDF of Z and try & use it to calculate that of X
 
Top