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Thread: How to find probability distribution and conditional probability distribution ?

  1. #1
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    Question How to find probability distribution and conditional probability distribution ?

    How to find probability distribution and conditional probability distribution ?-chartcondition.png

    I know one must use notation like

    P(x=1|U=4)=?

    P(x=2|U=4)=?

    P(x=3|U=4)=?

    How does one use these notations to derive the final answer for number two?


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  2. #2
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    Re: How to find probability distribution and conditional probability distribution ?

    Hey littlejon.

    You have to group the values into "bins" and then find their frequencies.

    After you do this, you make something a probability distribution by dividing each of the frequencies (for each bin) by the total number of all frequencies [i.e. the sum of frequencies].
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  3. #3
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    Re: How to find probability distribution and conditional probability distribution ?

    Do you see that there are only 6 possible outcomes for (x, y): (1, 1), (1, 2), (2, 1), (2, 2), (3, 1), and (3, 2)?
    What are the probabilities for each of those?

    And there are four possible outcomes for X+ Y: 2, 3, 4, and 5. 1+ 1= 2; 1+ 2= 2+ 1= 3; 2+ 2= 3+ 1= 4, and 3+ 2= 5. What are the probabilities of each of those?

    If U= 4, then (x, y)= (2, 2) or (3, 1). So x has two possible outcomes, 2 or 3. What are the probabilities of x= 2 or 3 given that (x, y)= (2, 2) or (3, 1).
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