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Topic: CSE 291 Winter 2005, Assignment 2
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Messages 39-38 deleted by topic administrator 07-22-2008 05:11 AM
goldstonesoftPerson was signed in when posted  37
07-10-2008 01:25 AM ET (US)
Edited by author 07-10-2008 02:05 AM
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Messages 35-31 deleted by topic administrator between 07-03-2008 02:42 AM and 02-25-2008 11:11 AM
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07-30-2007 04:40 PM ET (US)
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Goldshield  29
11-18-2006 02:17 PM ET (US)
Can anyone tell me what is the probability of two people writing a 50 word paragraph to be exactly the same?

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Messages 28-27 deleted by topic administrator between 07-22-2006 09:30 AM and 07-21-2006 09:00 AM
Charles ElkanPerson was signed in when posted  26
02-01-2005 02:54 PM ET (US)
\m25 answer: Your approach to part b is sound. For part a, can you start with the definition of conditional probability as a fraction, and see what cancels?

Hint: look for an "n choose k" coefficient; what is the other name for "n choose k"?
Stephen Krotosky  25
02-01-2005 03:01 AM ET (US)
For problem 4, can you give some more intuition on how to approach this?

For part a, I can see that the distibution associated with Z = \sum x_i is also a Poisson Distribition, but I can't figure out how to use that to get the Conditional distribution.

For part b, I'm assuming that \sum x_i is the sufficient statistic, since we were supposed to prove that in part a. I'm guessing that we should use an initial estimator of
P(x_i = 0 event) = 1 for x1 = 0, 0 for x1 != 0.

This would be an unbiased estimator, and then we could find what P(x_i = 0 event| \sum x_i = A) which should give the MVUE.

I think I have outlined the idea of how to do it, but I can't seem to do the specific computations to get the results. Could you please offer some ideas on how to actually compute these values. Thanks.
Charles ElkanPerson was signed in when posted  24
01-30-2005 10:53 PM ET (US)
/m21 answer: Constant variance does not imply zero covariance. However, you may assume that all estimators are independent here. In other words, each estimator has a different argument x where all the x are independent of each other.
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