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

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SUMMARY

The discussion centers on solving the probability equation (m t) >= 8.26E6, where participants suggest using a Poisson distribution due to the large value of N. One user proposes that a Binomial distribution with parameters (1.859E-7, 19 million) would more accurately describe the variable X. The expected value for the Binomial distribution is calculated as np = 19 million * 1.859E-7. The Poisson distribution's single parameter, lambda, must match this expected value to solve the problem effectively.

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superwolf
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Probability question

How do I solve

(m t) >= 8.26E6

?
 
Last edited:
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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!
 

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