Suppose you are able to correctly predict the outcome of an NCAA women's basketball game with probability p=0.9. Let X be the number of games you are able to correctly predict in the first round of the tournament, which has 32 games.
What is the distribution of X? What is the probability mass function of X? (4 points)
What is the probability that you will predict all 32 games in the first round correctly? (3
points)
What is the expected number of games that you will be able to correctly predict in the
first round? What is the standard deviation? (6 points)
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