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Let X have density g(x)=c(x-1)^2 for x in [0,2] a. Find C.  b. Find E(x).   c. Find variance

Guest Mar 22, 2015

Best Answer 

 #3
avatar+26971 
+5

Rough explanation of where the expression in b comes from:

 

 Continuous mean 1,

 continuous mean 2.

 

I should have noted that wk goes to w(x)dx in passing from the discrete to the continuous (so "mass" goes to "mass per unit length"*"(infinitesimal) length"; with "mass per unit length" being "density").

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Alan  Mar 23, 2015
 #1
avatar+26971 
+5

Statistics

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Alan  Mar 22, 2015
 #2
avatar+93289 
0

Hi Alan,

I have not seen probability dealt with like this before.

I can understand part A and it sort of makes sense to me I think.

 

I am trying to work out the mathematical logic of what you have done it part b.

I get a glimmer of understanding but then it goes again.  Can you help me to understand this?

Thank you.

Melody  Mar 22, 2015
 #3
avatar+26971 
+5
Best Answer

Rough explanation of where the expression in b comes from:

 

 Continuous mean 1,

 continuous mean 2.

 

I should have noted that wk goes to w(x)dx in passing from the discrete to the continuous (so "mass" goes to "mass per unit length"*"(infinitesimal) length"; with "mass per unit length" being "density").

.

Alan  Mar 23, 2015
 #4
avatar+93289 
0

Thanks Alan, I will really have to think about this one.  

Melody  Mar 23, 2015

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