This exercise will be easy for those familiar with Japanese puzzles called nonograms. The marginal probability distributions of the discrete random variables X and Y are given in the following table:...

This exercise will be easy for those familiar with Japanese puzzles called nonograms. The marginal probability distributions of the discrete random variables X and Y are given in the following table:

Moreover, for a and b from 1 to 5 the joint probability P(X = a, Y = b) is either 0 or 1/14. Determine the joint probability distribution of X and Y .