Poisson Distribution Statistics

vanitymdl
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Homework Statement


If the number of complaints a dry cleaning establishment receives per day is random variable having the Poisson distribution with λ = 3.3, what are the probabilities that it will receive:

(a) Five complaints altogether on any two given days.

(b) at least 12 complaints altogether on any 3 given days.

Homework Equations


Poisson Distribution


The Attempt at a Solution


 
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Please show us your best attempt so far so we can understand how you are thinking about the problem and where you get stuck. Thanks.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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