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Same as the question above: Consider the following variant of Homework #8: Given m = 3 distinct presents and n = 3 guests, the host
Same as the question above: Consider the following variant of Homework #8: Given m = 3 distinct presents and n = 3 guests, the host will give the presents out one by one randomly to one of the guests. Therefore it is possible that a guest may receive no presents, one present, or multiple presents. Let S = { | 1 i, j, k 3} be the sample space of all possible outcomes. For example, the <2, 2, 3> in S represents the possible outcome where the first two presents were given to guest #2 while the last present was given to guest #3. Answer the following probability questions assuming each possible outcome is equally likely. Let X1 be the random variable about the number of presents received by guest #1. E(X1) =
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