Consider the discrete random variables X and Y with the
following joint probability
mass function:
Given that X is not negative, what is the probability that Y is
also not negative?
A. 0.5 B. 0.8 C. 0.4 D. 0.25 E. none of the preceding
Given that X is not negative, the probability that Y is also not negative is computed using Bayes theorem here as:
P(Y >= 0 | X >= 0) = P(X >= 0, Y >= 0) / P(X >= 0)
= (0.25 + 0.125) / (0.25 + 0.25 + 0.125 + 0.125)
= 0.375 / 0.75
= 0.5
Therefore 0.5 is the required probability here. ( A is the correct answer here )
Consider the discrete random variables X and Y with the following joint probability mass function: Given...
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