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 Post subject: approximation
PostPosted: Sun, 22 Apr 2012 01:06:42 UTC 
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The random variable X has the binomial distribution, B(n,p), where 0< p < 1.

Given that n = 8 and p = 1/3, the random variable S is the sum of 60 independent observations of X. Find the approximate value of P(S >162).

(Answer is 0.423. But I'm not sure of the method.Actually I have no idea about the method. Thank you very very much!)


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 Post subject: Re: approximation
PostPosted: Sun, 22 Apr 2012 01:11:42 UTC 
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thesocialnetwork wrote:
The random variable X has the binomial distribution, B(n,p), where 0< p < 1.

Given that n = 8 and p = 1/3, the random variable S is the sum of 60 independent observations of X. Find the approximate value of P(S >162).

(Answer is 0.423. But I'm not sure of the method.Actually I have no idea about the method. Thank you very very much!)


Use the normal approximation and a z-table.

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 Post subject: Re: approximation
PostPosted: Sun, 22 Apr 2012 01:18:55 UTC 
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ah okay that's under normal distribution isn't it ... we haven't done that in school yet, guess I'll get to it.

*so using the z table is the only way to solve this problem? thanks!


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 Post subject: Re: approximation
PostPosted: Sun, 22 Apr 2012 01:41:59 UTC 
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thesocialnetwork wrote:
ah okay that's under normal distribution isn't it ... we haven't done that in school yet, guess I'll get to it.

*so using the z table is the only way to solve this problem? thanks!


"Only" is a dangerous thing to say in mathematics. In any case, I have little doubt that is what you are expected to do.

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 Post subject: Re: approximation
PostPosted: Sun, 22 Apr 2012 01:49:49 UTC 
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True! but in some cases ignorance is bliss. i'll just stick to norm distribution then. thank you.


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