Given the following probability mass function, determine C.Given the following probability mass function: P x y ( x , y ) = C ( 1 2 ) x ⋅ ( 1 2 ) y determine C.Hint: use the definition for a geometric series : ∑ n = 0 ∞ r n = 1 ( 1 − r ) I'm not quite sure what to even do, I would normally integrate to find a constant? but I'm using geometric series now, and I don't really have any values for x,y or P x y ( x , y )...&lt;br&lt;x and y can take any integer value equal or bigger then 0

Question

Given the following probability mass function, determine C.Given the following probability mass function:      P          x      y        (  x  ,  y  )  =  C            (              1        2            )        x    ⋅            (              1        2            )        y   determine C.Hint: use the definition for a geometric series :      ∑          n      =      0        ∞        r    n    =      1          (      1      −      r      )      I&#039;m not quite sure what to even do, I would normally integrate to find a constant? but I&#039;m using geometric series now, and I don&#039;t really have any values for x,y or       P          x      y        (  x  ,  y  )...&amp;lt;br&amp;lt;x and y can take any integer value equal or bigger then 0

vrtuljakc6 · Accepted Answer

Explanation:Because       ∑          {      x      ,      y      }      =      0        ∞              (                        1          2                    )        x              (                        1          2                    )        y    =            1              1        −        1                  /                2                        1              1        −        1                  /                2              =  4, the normalization constant must be   C  =  1      /    4

Given the following probability mass function: P_{xy}(x,y)=C(1/2)^x cdot (1/2)^y determine C.

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