Given the following probability mass function, determine C.Given the following probability mass function: P x...

antennense

antennense

Answered

2022-07-14

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 )...<br<x and y can take any integer value equal or bigger then 0

Answer & Explanation

vrtuljakc6

vrtuljakc6

Expert

2022-07-15Added 16 answers

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

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