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Math Help - Probability function

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    Probability function

    If a random variable X has values 1, 2 and 3 with corresponding probabilities , and , and a random variable Y has values 1 and 2 with probabilities of 2/3 and 1/3, construct the joint probability point function for X and Y if the random variables are independent.
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    Quote Originally Posted by matty888 View Post
    If a random variable X has values 1, 2 and 3 with corresponding probabilities , and , and a random variable Y has values 1 and 2 with probabilities of 2/3 and 1/3, construct the joint probability point function for X and Y if the random variables are independent.
    Pr(X = 1, Y = 1) = (1/4)(2/3) = 1/6.

    Pr(X = 1, Y = 2) = (1/4)(1/3) = 1/12.

    Pr(X = 2, Y = 1) = (1/4)(2/3) = 1/6.

    Pr(X = 2, Y = 2) = (1/4)(1/3) = 1/12.

    Pr(X = 3, Y = 1) = (1/2)(2/3) = 1/3.

    Pr(X = 3, Y = 2) = (1/2)(1/3) = 1/6.
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