Question

If X and Y are random variables, the sum of all the conditional probabilities of X given a specific value of Y will always be:

-0.0-1.0-the average of the possible values of X.-the average of the possible values of Y.

Answer 1

What library are you using?

Answer 2

The sum of all the conditional probabilities of X given a specific value of Y is always 1.0

Let X and Y be two random variables with possible values x_i and y_j, respectively.

P(X = x_i | Y = y_j) represents the conditional probability of X taking the value x_i given that Y already has the value y_j.

Summing over all the possible values of X for a specific value of Y, we have: ∑ P(X = x_i | Y = y_j) for all x_i

This summation represents the probability that X takes any value given that Y has the value y_j. Since X must take some value, the sum of all its conditional probabilities must be equal to 1.

Therefore, the answer is 1.0.