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rearranging poisson equation for mean


God

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i see similar questions come up quite often:

 

The random variable X follows a poisson distribution. Given that P(X<=1) = 0.2, find the mean of the distribution.

 

<= is less than or equal to. 

 

so i try to rearrange and i get to :  e^-m (1+m) = 0.2

 

I dont know what to do next, anyone know ? 

 

 

Thanks! :D

 

-GOD

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