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#151 2012-11-19 13:01:40

anonimnystefy
Real Member

Online

Re: Expectation

Oh, I get it. Nice one, but harder than the other ones. I tried forming a recursive formula by removing two adjacent cards from the circle.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#152 2012-11-19 13:08:31

bobbym
Administrator

Online

Re: Expectation

Hi anonimnystefy;

That is good it is okay to ask when you can not get it. I had too.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#153 2012-11-19 13:22:44

anonimnystefy
Real Member

Online

Re: Expectation

Great!

Have you got another problem?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#154 2012-11-19 13:24:22

bobbym
Administrator

Online

Re: Expectation

Yes, I have other problems. My back is killing me for one. Thanks for asking.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#155 2012-11-19 13:37:27

anonimnystefy
Real Member

Online

Re: Expectation

You are welcome.

Have you got another mathematical problem?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#156 2012-11-19 13:39:12

bobbym
Administrator

Online

Re: Expectation

Yes, I will post it and you will solve it after you get a good night's sleep.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#157 2012-11-19 13:40:33

anonimnystefy
Real Member

Online

Re: Expectation

Could you post it now?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#158 2012-11-19 13:51:14

bobbym
Administrator

Online

Re: Expectation

New Problem:

What is the expected number of adjacent letters that are the same in the permutations of Mississippi?


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#159 2012-11-25 05:46:09

anonimnystefy
Real Member

Online

Re: Expectation

Hi

Last edited by anonimnystefy (2012-11-25 05:48:40)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#160 2012-11-25 09:26:57

bobbym
Administrator

Online

Re: Expectation

Hi;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#161 2012-11-25 09:32:32

anonimnystefy
Real Member

Online

Re: Expectation

I used your method from the previous problem.


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#162 2012-11-25 09:37:16

bobbym
Administrator

Online

Re: Expectation

Hah! I change methods everyday and then forget changing them.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#163 2012-11-25 10:35:38

anonimnystefy
Real Member

Online

Re: Expectation

So?


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#164 2012-11-25 10:49:59

bobbym
Administrator

Online

Re: Expectation

Hmmmm.

You have 4 boxes. You can toss balls one at a time to the boxes until any one of them has 3 balls in it, and then you stop.
The tosses are independent, and each bin is equally likely to be hit. It's impossible to not make it in a bin on any given toss.
What is the expected number of tosses so that 1 bin has 3 balls in it?


See you in a bit.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#165 2012-11-25 11:12:30

anonimnystefy
Real Member

Online

Re: Expectation

5.7439204752445220947265625...?

Btw, I am looking at a paper that uses the notation I{X<=3} and then uses a property from which they deduce that E I{X<=3}=P{X<=3}. Do you have an idea what the I represents?

Last edited by anonimnystefy (2012-11-25 13:02:43)


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

#166 2012-11-25 20:26:40

bobbym
Administrator

Online

Re: Expectation

Hi;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#167 2012-11-25 23:15:56

gAr
Star Member

Offline

Re: Expectation

Hi bobbym,


"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."
 

#168 2012-11-25 23:28:21

bobbym
Administrator

Online

Re: Expectation

Hi gAr;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#169 2012-11-25 23:32:37

gAr
Star Member

Offline

Re: Expectation

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."
 

#170 2012-11-25 23:35:03

bobbym
Administrator

Online

Re: Expectation

Hi;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#171 2012-11-25 23:44:34

gAr
Star Member

Offline

Re: Expectation

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."
 

#172 2012-11-25 23:54:48

bobbym
Administrator

Online

Re: Expectation

Hi;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#173 2012-11-26 00:00:06

gAr
Star Member

Offline

Re: Expectation

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."
 

#174 2012-11-26 00:01:45

bobbym
Administrator

Online

Re: Expectation

Hi;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#175 2012-11-26 00:08:32

anonimnystefy
Real Member

Online

Re: Expectation

Hi bobbym


The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón
 

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