Question: 2. We choose 13 numbers at randomand without replacement fromthe set {1, 2, . . . , 100}. Let X be the median of the

2. We choose 13 numbers at randomand without replacement fromthe set {1, 2, . . . , 100}.

Let X be the median of the numbers selected. Find the probability mass function of X.

Note that the median of the 13 numbers selected is the number in the middle when they are put in order. For example, if the numbers chosen are 7, 12, 13, 25, 41, 48, 53, 59, 67, 77, 84, 90, and 96, then their median is 53.

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