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Math Help - Help with Poisson function!!

  1. #1
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    Thumbs down 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...
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  2. #2
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    Quote Originally Posted by Sneaky View Post
    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)?
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  3. #3
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    Quote Originally Posted by mr fantastic View Post
    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.
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    Quote Originally Posted by downthesun01 View Post
    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?
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