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seen May 30 '13 at 11:33

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awarded  Notable Question
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2
awarded  Curious
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awarded  Popular Question
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awarded  Notable Question
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awarded  Yearling
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awarded  Popular Question
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2
awarded  Nice Question
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accepted Lottery Competition
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awarded  Caucus
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14
comment Lottery Competition
please see comment above. Sorry for bad wording. Is the answer still 1/50?
May
14
comment Lottery Competition
@RonGordon This is very badly worded indeed! Imagine such a lottery competition where lottery is bought randomly, independently and suppose we just know deal with probability that any person wins the lottery, and not even care or know the system of anouncing winner. Better still wording would have been "there is a quiz competition where there are 100 participants and the probability that they give correct answer is $x$, what optimum $x$ gives exactly two winners?'
May
14
asked Lottery Competition
May
14
comment Expectation Values
$E[\frac{X_1+X_2 + ...+X_n}{n^3}] = n*E[X]$? Is this assumption always the case?
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14
accepted Expectation Values
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14
asked Expectation Values
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8
awarded  Popular Question
Mar
8
accepted Uniform Convergence of integrals
Mar
8
comment Uniform Convergence of integrals
I wanted to prove the above result(uniform convergence) because I want exchange two limits before integral, e.g. when you have $\lim_{n\rightarrow\infty}\lim_{m\rightarrow \infty}\int^m_af_ndx$. my concern was exchange of possible if and only if integrals are uniformly convergent. But since they are numbers, can I take it for granted and exchange limits?
Mar
8
comment Uniform Convergence of integrals
I think for the proof you suggest, noticing $\|\int^b_a(f_n-f)dx\|\le\int^b_a\|f_n-f\|dx<\int\epsilon/(b-a)$ will suffice. Thank you, it was very helpful.
Mar
8
comment Uniform Convergence of integrals
That makes it more clear. thanks.