ATAR Notes: Forum

VCE Stuff => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematics => Topic started by: GiPhat on March 27, 2010, 12:37:02 pm

Title: Probability Help
Post by: GiPhat on March 27, 2010, 12:37:02 pm

Hi guys, just needed some proving help: Why is it the in a standard normal distribution, where X has a mean of mew and standard deviation of sigma, That the expected value of Z is 0 and the variance of Z is 1?
Please help out

Title: Re: Probability Help
Post by: kyzoo on March 27, 2010, 01:01:30 pm

That's the definition of the standard normal distribution

Mean = Expected value = 0
Standard Deviation = 1
Variance = (Standard Deviation)^2 = 1

Title: Re: Probability Help
Post by: GiPhat on March 27, 2010, 01:20:27 pm

yeah, but i was wondering how do we prove that using just a generic random variable X and get that result

Title: Re: Probability Help
Post by: kyzoo on March 27, 2010, 02:30:13 pm

You don't? Because that's the fundamental definition.

It's like saying, prove that "ab" equals "a x b"

Title: Re: Probability Help
Post by: GiPhat on March 27, 2010, 03:33:19 pm

uhh, ok but it was part of my assignment so i think you should be able to prove it...i'm so confused... :-\