Question: The joint probability function of two random discrete variables X and Y, with natural values (not negative) included zero, is equal to f(x,y) = c (2x +y) if x ε {0, 1, 2} and if y ε {0, 1, 2, 3}, with f(x,y) = 0 in every cases.
A) Calculate...
a) Calculate the value of .
b) Calculate the value of P(X = 2, Y = 1).
c) Calculate the value of P(X >= 1, Y <= 2).
d) The marginal probability functions of X and Y.
B) Verify if the random variables X and Y are dependent or not. Justify your answer Probabilities and Statistics Exercises with all necessary calculations.