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Math Help - Compute the probability of each

  1. #1
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    Compute the probability of each

    Two discrete random variables X and Y have joint pmf given by the following table:


    [html]
    Y
    ______________________________________________
    | 1 2 3
    X | _______________________________
    | 1 | 1/12 1/6 C
    | 2 | 1/6 1/4 1/12
    | 3 | 1/12 1/12 0

    [/html]i) Find C
    ii) Compute the probability of each of the following events.
    a) X \le 1^{1/2}
    b) X is odd
    c) XY is even
    d) Y is odd given that X is odd.
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  2. #2
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    Quote Originally Posted by Stats View Post
    Two discrete random variables X and Y have joint pmf given by the following table:


    [html]
    Y
    ______________________________________________
    | 1 2 3
    X | _______________________________
    | 1 | 1/12 1/6 C
    | 2 | 1/6 1/4 1/12
    | 3 | 1/12 1/12 0

    [/html]i) Find C
    ii) Compute the probability of each of the following events.
    a) X \le 1^{1/2}
    b) X is odd
    c) XY is even
    d) Y is odd given that X is odd.
    i) Use the fact that the total probability has to equal 1.

    ii) Identify the favourable events, that is, the favourable combinations of X and Y. Then add up the probability of each favourable event.
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