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Math Help - Joint probability distribution??????

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    Joint probability distribution??????

    Two random variable are independent and each has a binomial distribution with success probability 0.3 and 2 trials.

    a) Find the joint probablity distribution
    b) Find the probablity that the second random variable is greater than the first.

    How do you do this problem??? Please help. Thanks!!!
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    Quote Originally Posted by simple_guy8 View Post
    Two random variable are independent and each has a binomial distribution with success probability 0.3 and 2 trials.

    a) Find the joint probablity distribution
    b) Find the probablity that the second random variable is greater than the first.

    How do you do this problem??? Please help. Thanks!!!
    Construct a 3x3 grid to represent the pairs (x, y) where x = 0, 1, 2 and y = 0, 1, 2.

    Pr(X = x, Y = y) = Pr(X = x) Pr(Y = y) since X and Y are independent.

    And you should know how to use the binomial distribution to calculate the probabilities of X = x and Y = y for x = 0, 1, 2 and y = 0, 1, 2.
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