Question

3. Jeremy has a drawer with 6 blue and 4 brown socks. He selects 4 of...

3. Jeremy has a drawer with 6 blue and 4 brown socks. He selects 4 of the socks without replacement.

(a) Determine the probability mass function of X, the number of blue socks chosen.

(b) Determine the probability mass function of Z, the number of matching pairs he selects. [Hint: The range of Z is {1, 2} since he must get at least one matched pair and can’t get more than two.]

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