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2. Five men and five women are ranked according to their scores on an examination. Assume that
no two scores are alike and all 10 ! possible rankings are equally likely. Let X denote the highest
ranking achieved by a woman. (For instance if X=1 then the top ranking person is a female). (a)
What are possible values for X?(0.5 points) (b) Compute the probability mass function of X ( 2
points)

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  • 1. 2. Five men and five women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10 ! possible rankings are equally likely. Let X denote the highest ranking achieved by a woman. (For instance if X=1 then the top ranking person is a female). (a) What are possible values for X?(0.5 points) (b) Compute the probability mass function of X ( 2 points)