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There is an ex which contains 4 questions as follow: I) 3 questions have four multiple...

There is an ex which contains 4 questions as follow:

I) 3 questions have four multiple choices a, b, c and d

II) only one question is true and false

Let  \ (X \) denotes the number of correct answers for part (I) and  \ (Y \) denotes the number of correct answers in true / false part. Find the joint probability distribution function  \ (f_X, _Y (x, y) \)

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