Suppose you have two random variables, X and Y, where = 4, 5, 6, 7, 8 and y = 3, 4, 5. Let f(x, y) = P(X= x, Y = y) represent the joint distribution of X and Y. 1. How would you find the conditional distribution of X, given Y = 5? P(X= 2, Y = 5) P(X=4, Y = 5) P(X= z) P(X= 4) P(X= 5, Y = y) P(Y = y) P(X= 5, Y = y) PX=5) P(X= x, Y = 5) P(Y = 5) P(X= 4, Y = 5) P(Y = 5) 2. Is the complement rule for conditional probabilities written as P(X | Y) = 1- P(X' | Y')? O Yes, this version of the complement rule is correct. O No, this version of the complement rule is not correct.

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Suppose you have two random variables, X and Y, where x = 4, 5, 6, 7, 8 and y = 3, 4, 5. Let
f(x, y) = P(X= x, Y = y) represent the joint distribution of X and Y.
1. How would you find the conditional distribution of X, given Y = 5?
P(X= 2, Y = 5)
P(X= 4, Y = 5)
P(X= x)
P(X= 4)
P(X= 5, Y = y)
P(Y = y)
P(X= 5, Y = y)
FX = 5)
P(X= x, Y = 5)
P(Y = 5)
P(X= 4, Y = 5)
P(Y = 5)
2. Is the complement rule for conditional probabilities written as P(X | Y) = 1 - P(X' | Y')?
O Yes, this version of the complement rule is correct.
O No, this version of the complement rule is not correct.
Transcribed Image Text:Suppose you have two random variables, X and Y, where x = 4, 5, 6, 7, 8 and y = 3, 4, 5. Let f(x, y) = P(X= x, Y = y) represent the joint distribution of X and Y. 1. How would you find the conditional distribution of X, given Y = 5? P(X= 2, Y = 5) P(X= 4, Y = 5) P(X= x) P(X= 4) P(X= 5, Y = y) P(Y = y) P(X= 5, Y = y) FX = 5) P(X= x, Y = 5) P(Y = 5) P(X= 4, Y = 5) P(Y = 5) 2. Is the complement rule for conditional probabilities written as P(X | Y) = 1 - P(X' | Y')? O Yes, this version of the complement rule is correct. O No, this version of the complement rule is not correct.
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There are two random variables X and Y.

where, x=4,5,6,7,8 and y=3,4,5.

fx,y=PX=x, Y=y represent the joint distribution of X and Y.

 

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