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June 16, 2024, 12:58:50 pm

Author Topic: My thread of questions  (Read 26166 times)  Share 

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kamil9876

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Re: My thread of questions
« Reply #75 on: September 13, 2009, 08:33:10 pm »
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no it shouldn't.

Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

ngRISING

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Re: My thread of questions
« Reply #76 on: September 13, 2009, 10:16:49 pm »
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Essentials Text Book. !
CH 17A . Q4c) ii].

Quesiton is . f(x) = [1/5√2pie]e^[(1/2)((x+4)/5)^2]

Find E(X^2) .
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Re: My thread of questions
« Reply #77 on: September 13, 2009, 10:27:02 pm »
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Do you mean ?

Then

However your calculator will probably have a hard time integrating this.

Instead note that the normal distribution is

So we have and

So now we can say:




TrueTears

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Re: My thread of questions
« Reply #78 on: September 13, 2009, 10:29:10 pm »
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Or just use the NormalCDF if this was MC Q.
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ngRISING

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Re: My thread of questions
« Reply #79 on: September 13, 2009, 10:35:25 pm »
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THANK YOU TO YOU BOTH ^_^. got a tad confused there. ;) .
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Re: My thread of questions
« Reply #80 on: September 13, 2009, 10:39:07 pm »
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Or just use the NormalCDF if this was MC Q.

How would you use normCDF?

Gloamglozer

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Re: My thread of questions
« Reply #81 on: September 14, 2009, 06:21:47 pm »
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Or just use the NormalCDF if this was MC Q.

How would you use normCDF?

When it is a normal distribution and you need to add in a range of values.

EDIT:  Actually, come to think of it, we never use normpdf, do we?  So aren't we supposed to use normcdf if it a normal distribution?

Bachelor of Science (Mathematics & Statistics) - Discrete Mathematics & Operations Research

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Re: My thread of questions
« Reply #82 on: September 14, 2009, 06:49:23 pm »
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Or just use the NormalCDF if this was MC Q.

How would you use normCDF?

When it is a normal distribution and you need to add in a range of values.


Yes but can you find expected values somehow?

TrueTears

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Re: My thread of questions
« Reply #83 on: September 14, 2009, 06:52:25 pm »
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Or just use the NormalCDF if this was MC Q.

How would you use normCDF?

When it is a normal distribution and you need to add in a range of values.

EDIT:  Actually, come to think of it, we never use normpdf, do we?  So aren't we supposed to use normcdf if it a normal distribution?
Yeah normPDF gives the height of the density function. CDF gives the probability.
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Gloamglozer

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Re: My thread of questions
« Reply #84 on: September 15, 2009, 07:23:25 pm »
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Or just use the NormalCDF if this was MC Q.

How would you use normCDF?

When it is a normal distribution and you need to add in a range of values.

EDIT:  Actually, come to think of it, we never use normpdf, do we?  So aren't we supposed to use normcdf if it a normal distribution?
Yeah normPDF gives the height of the density function. CDF gives the probability.

When do we need to find the height of a density function?  That's just the mode, right?

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TrueTears

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Re: My thread of questions
« Reply #85 on: September 15, 2009, 09:00:48 pm »
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Or just use the NormalCDF if this was MC Q.

How would you use normCDF?

When it is a normal distribution and you need to add in a range of values.

EDIT:  Actually, come to think of it, we never use normpdf, do we?  So aren't we supposed to use normcdf if it a normal distribution?
Yeah normPDF gives the height of the density function. CDF gives the probability.

When do we need to find the height of a density function?  That's just the mode, right?
Yeah the mode is the X value that produces the height, not the actual height. Remember that XD
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Gloamglozer

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Re: My thread of questions
« Reply #86 on: September 16, 2009, 04:38:26 pm »
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Thanks TT.  You gun.  :D

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khalil

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Re: My thread of questions
« Reply #87 on: September 27, 2009, 09:59:30 pm »
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How do you derive f(g(x^2)), using the simplest method?

TrueTears

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Re: My thread of questions
« Reply #88 on: September 27, 2009, 10:06:45 pm »
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PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

khalil

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Re: My thread of questions
« Reply #89 on: September 27, 2009, 10:09:03 pm »
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Which rules did you use?
I can do it but I have to use the chain rule twice, first to derive g(x^2) then the whole thing