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A poisson variable satisfies P(X= 1) = P...

A poisson variable satisfies P(X= 1) = P (X = 2). Find P(X = 5).

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If X is a poisson variate such that P(X = 2) = 9P(X = 4) + 90P(X = 6) then find mean of X.

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Knowledge Check

  • If a poisson variate X satisfies P(X=2)=P(X=3) then P(X=5)=

    A
    `(81)/(40e^(5))`
    B
    `(81)/(40e^(3))`
    C
    `(243)/(40e^(3))`
    D
    `(243)/(40e^(5))`

  • If X is a poisson variate such that 2P(X = 1) = 5P (X = 5)+(2P(X = 3), then the standard deviation of X is

    A
    4
    B
    2
    C
    `(1)/(2)`
    D
    `sqrt(2)`

  • X is a Poisson variate and 2P(X=1)=P(X=2). Then P(X=2)=

    A
    1
    B
    `2//e^(2)`
    C
    `1//e`
    D
    `8//e^(4)`

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    Let X be a random variable such that P(X = - 2) = P ( X = - 1) = P ( X = 2) = P ( X = 1) = 1//6 and P (X = 0 ) = 1//3 , then find the mean of x .

    For a poisson variate X, P(X=2) = P(X = 3) find variance of X.

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