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#201 2013-12-26 17:45:27

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#202 2013-12-26 20:25:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Hi;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#203 2013-12-26 21:03:59

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Yes.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#204 2013-12-26 21:14:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Hi gAr;

Keep going, I am taking notes.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#205 2013-12-26 21:33:07

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Hi,

Okay, that's all for now!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#206 2013-12-26 21:40:57

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Okay, very good work. I got a lot of new insights just from looking at it.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

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#207 2013-12-26 22:01:05

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Insight from the summation?
Those two parts were the solution to recurrences.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#208 2013-12-26 22:07:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Mostly from the Markov chain. Clever use of what looks like a PIE.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#209 2013-12-26 22:25:29

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Oh, okay.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#210 2013-12-26 22:36:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Hi;

I will see you later, I need a nap.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#211 2013-12-26 22:50:20

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

See you later.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#212 2013-12-27 02:47:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Hi gar;

Relax a bit too. Leave some of the math problems in the world for us old guys that are slow.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#213 2013-12-27 04:30:59

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Hi bobbym,

Can't relax, there's so much to do!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#214 2013-12-27 08:47:35

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Yes, I know. Full speed ahead!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#215 2013-12-31 23:01:59

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

New Problem:

5 numbers are randomly chosen from U(0,1).
i) What is the probability that the lowest number is greater than 3/13 ?
ii) What is the probability that the highest number is less than 9/13 ?
iii) What is the probability that the lowest number is greater than 3/13 and the highest number is less than 9/13 ?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#216 2013-12-31 23:37:28

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#217 2013-12-31 23:45:12

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Hi,

Answer i is right, good job!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#218 2013-12-31 23:48:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Hi;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#219 2013-12-31 23:58:07

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Okay.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#220 2014-01-01 00:02:41

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#221 2014-01-01 00:10:08

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Hi,

All are correct, well done!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#222 2014-01-01 00:10:47

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Thanks gAr. Very good problems!


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#223 2014-01-01 00:17:45

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

You're welcome.


iv) What's the probability that the lowest is > n1 and the highest is < n2, where 0<n1<n2<1 ?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#224 2014-01-01 00:22:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,473

Re: Probability problem.

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

Offline

#225 2014-01-01 00:24:25

gAr
Member
Registered: 2011-01-09
Posts: 3,478

Re: Probability problem.

Hi,

That's right!


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

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