Show that the following function satisfies the properties of a joint probability mass function.Determine the following: (a) Marginal probability distribution of Y (b) Marginal probability distribution of X (с) Р(X

<3, Y>1.0) (d) P(X>3) (e) P(X <4, Y=3.0) (f) P(X=Y) (g) P(X=Y<4.0) (h) P(X >2, Y< 4.0) (i) E(X), E(Y), V (X), and V (Y) (j) Determine the covariance and correlation for the two variables X and Y, and then explainthe strength of linearity between these variable.