Assume the following table gives the joint PDF (probability distribution function, not Adobe document!!) of two discrete variables, x and Y.
Variable X
-2 0 2 3
3 0.27 0.08 0.16 0
Variable Y
6 0 0.04 0.10 0.35
Understanding of the Table: If the variable X takes on a value, (-2) and the variable Y takes on a value 3, their joint probability is 0.27. In other words, the probability of X=-2 and Y=3 at the same time is 0.27. Continuing this, the probability of X=0 and Y=3 is 0.08 and so on.
Using the information given in the table above, Analyse
Marginal Probability Density Functions of X and Marginal Probability Density Functions of Y.
Conditional probability of (X=-2|Y=3) and the conditional probability of (X= 2 | Y=6).