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Three people are invited to participate a seminar. Assume all three people arrives independently, and the probability of any one of them is late is

Three people are invited to participate a seminar. Assume all three people arrives independently, and the probability of any one of them is late is 0.2. Let be the number of late participants of the seminar.

1. Find the distribution (pmf) of .

2. Calculate mean and variance of .

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