Why Are Different Definitions Of P On Binomial Model?

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Why Are Different Definitions Of P On Binomial Model? The definitions between p on page 454 and on297 are different

#1 sjpark54

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Posted 09 September 2012 - 05:50 AM

On page 297, p is the probability of a successful outcome in each trial, but on page 454 p is the proportion of successes.
Then these are the same meaning from the other views, that is "the probability of a successful outcome in each trail" same
as "the proportion of successes".

I need more explanation why are the same these definitions. Please let me get the clear explanation.

Thank you in advance.