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).