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Math Help - Poisson Distribution

  1. #1
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    Poisson Distribution

    Can anyone help me to solve this problem ???

    Waiting . . . .
    Attached Thumbnails Attached Thumbnails Poisson Distribution-possion-distribution.jpg  
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  2. #2
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    Quote Originally Posted by neverlosehope View Post
    Can anyone help me to solve this problem ???

    Waiting . . . .
    In future, please type the question out.

    Let X be the random variable 'number of bacterial colonies in a sample'.

    X ~ Poisson( \lambda = 2).

    Calculate p = \Pr(X \geq 1) = 1 - \Pr(X = 0).


    Let Y be the random variable 'number of samples that have at least 1 bacterial colony in them'.

    Y ~ Binomial(n = 4, p = see above).

    Calculate \Pr(Y \geq 1) = 1 - \Pr(Y = 0).
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  3. #3
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    Thanks Mr Fantastic
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  4. #4
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    X ~ Poisson().

    Calculate .
    Thanks
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  5. #5
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    Quote Originally Posted by neverlosehope View Post
    X ~ Poisson().

    Calculate .

    why we didn't write ut like this ???????

    Calculate = 1-Pr(X<0)
    What's the point? Can X be less than zero?
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  6. #6
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    It's just a mistake , no it can't be less than zero

    1-Pr (x<1) = 1-Pr(x=0)

    U r Right sorry .

    But are u sure we are gonna solve it by possion rule & binomial.

    Can we just solve it by possion rule only ????
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  7. #7
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    Quote Originally Posted by neverlosehope View Post
    [snip]
    But are u sure we are gonna solve it by possion rule & binomial.

    Can we just solve it by possion rule only ????
    If you have so much doubt about the way I have shown you, please feel free to do it your own way.
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