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Problem 1. (9 Points) In a class with an enrollment of 10 students, five students are electrical engineers (EEs), three are mechanical engineers (MEs), and two are civil engineers (CEs). Two students are randomly selected from this class to serve on a team. Let X represent the number of EEs and Y the number of MEs selected for the team. O 5 Points. (a) Find the joint probability mass function of X and Y. 2 Points. (b) Find the marginal P.M.F. for X and for Y alone (either from the joint PMF found above, or otherwise) 2 Points. (c) Determine whether X and Y are independent