Solving Lottery Probability Question: (m t) >= 8.26E6

superwolf
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Probability question

How do I solve

(m t) >= 8.26E6

?
 
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I guess that you can represent it by a Poisson since N is large. I think that a Binomial( 1.859E-7, 19million) would describe X more accurately.

If it were a binomial, then the expected value would be np = 19mil*1.859e-7. Your Poisson needs to have the same expected value, and since Poisson has only one parameter, lambda, which represents both the expected value and the variance, you know the answer.
 
Thanks, I solved it and changed the topic.
 
I don't understand the question
 


superwolf said:
How do I solve

(m t) >= 8.26E6

?

Without knowing what "(m, t)" means, I don't see how anyone can help!
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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