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Calculating PMF's and marginal PMF's problem??

  • 20-08-2009 9:50am
    #1
    Nappy
    Registered Users, Registered Users 2 Posts: 329 ✭✭


    Hey guys,

    Studying for exam here and stumbled on a problem I cant get past and need your help!

    The problem deals with throwing a fair dice twice with random variables X and Y where,

    X: Face value of dice on first throw
    Y: Larger of two values from the 2 throws

    which has joint pmf, we are looking for the conditional pmf of X given Y.

    P[ X= i, Y= j] = 0 if i > j
    1/36 if i < j
    j/ 36 if i = j

    My main problem is calculating the marginal pmf's of X and Y . I know the answers but dont understand how to get them. Also if anyone could give me a solution or help calculating the conditional pmf for Y given X it would be much appreciated...

    Thanks..


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