# Thread: Help with Poisson function!!

1. ## Help with Poisson function!!

Let W ~ Poisson(λ). For what value of λ is P(W=11) maximized?

I don't understand this question at all...

2. Originally Posted by Sneaky
Let W ~ Poisson(λ). For what value of λ is P(W=11) maximized?

I don't understand this question at all...
In terms of $\lambda$, what is Pr(W = 11)?

3. Originally Posted by mr fantastic
In terms of $\lambda$, what is Pr(W = 11)?
Mr. Fantastic, could you please elaborate? I read the problem asking what value for lambda maximizes the probability that w=11. Since lambda equals the mean divided by the period, I would assume that the value for lambda that maximizes the probability that w=11 is 11.

4. Originally Posted by downthesun01
Mr. Fantastic, could you please elaborate? I read the problem asking what value for lambda maximizes the probability that w=11. Since lambda equals the mean divided by the period, I would assume that the value for lambda that maximizes the probability that w=11 is 11.
The question I asked you is very clear and does not require elaboration. Can you answer it?