Each of the 60 students in a class belongs to exactly one of the three groups...

Each of the 60 students in a class belongs to exactly one of the three groups A,B, or C. The
membership numbers for the 3 groups are as follows:
A: 15 students
B: 20 students
C: 25 students
First, choose one of the 60 students at random and let X be the size of that student’s group;.
Next, choose one of the 3 groups at random and let Y be its size.
a. Write down the pmf for X and Y.
b. Compute ?(?) ??? ?(?).
c. Compute ???(?) ??? ???(?).

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