1 For each of the following joint probability mass functions

1) For each of the following joint probability mass functions, make a table, find the two marginal mass functions, and decide whether X and Y are independent. (In every case the mass function is defined to be 0 at values of x and y not specified).

a. p(x,y)= 1/36 if both x and y are in the set {1,2,3,4,5,6}

b. p(x,y)=(x^2)y/84 for x=1,2,3 and y=1,2,3

c. p(x,y)= 1/14 if x is an integer between 0 and 3(inclusive) and y is an integer between x and 4 (inclusive).

Solution