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Math Help - Poisson random variable

  1. #1
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    Poisson random variable

    i need help on this questions i really do not understand it

    Let X be a Poisson random variable with mean μ and let Y be a
    Poisson random variable with mean μ. Assume that X and Y are independent.
    (a) Write down the joint probability that X = i and Y = n−i, where n and i
    are integers with 0 <i<n
    (b) Calculate P(X + Y = n), where n is a non-negative integer.
    (c) What distribution does the random variable X + Y have?
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  2. #2
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    Quote Originally Posted by sagar View Post
    i need help on this questions i really do not understand it

    Let X be a Poisson random variable with mean μ and let Y be a
    Poisson random variable with mean μ. Assume that X and Y are independent.
    (a) Write down the joint probability that X = i and Y = n−i, where n and i
    are integers with 0 <i<n
    (b) Calculate P(X + Y = n), where n is a non-negative integer.
    (c) What distribution does the random variable X + Y have?
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