# Thread: Poisson Distribution with two different expected value

1. ## Poisson Distribution with two different expected value

Question:

Suppose there are number of accidents at location and location each day with Poisson Distribution with rate and the number of patients during each accident is Poisson distributed with rate . Find the probability that the number of patients less than in one day.

Attempt:

So I did and then using this mean to find

P(X<3)=

and I got a value of . I am sure this is the wrong answer. Where did it go wrong? I need some help. Thank you!

2. ## Re: Poisson Distribution with two different expected value

First thing, I would ask you to double-check the question: Is the question asking for <3 patients in one day or in one year? Is that rate of 0.001 per day or per hour?

3. ## Re: Poisson Distribution with two different expected value

Yes it is asking for <3. Also I think it is 0.001 per day. Thanks.

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