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November 25th, 2011, 01:21 PM   #1
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Drawing balls with repetition

There are n balls in an urn. We draw balls from the urn with repetition.
(i) What is the probability of drawing the ith ball at least twice?
(ii) For which value of will the order of magnitude of the expected number of the at least twice drawn balls be ? Specially, for what is ?
(iii) What are the potetnial (possible) exponents?

Any help would be appreciated!
Thank you very much!
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November 27th, 2011, 08:19 AM   #2
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Re: Drawing balls with repetition

For (i) is the answer: ?

And what is the answer for (ii) and (iii)?

I would be grateful for any help!
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