Question: You are allowed to take a certain test three times and your final score will be the maximum of the test scores. Thus X =

You are allowed to take a certain test three times and your final score will be the maximum of the test scores. Thus X = max (X1, X2, X), where X1, X2, X are the random variables giving the three test scores and X is the random variable giving the final score. Assume that your score in in each test takes one of the values from 1 to 10, with equal probability 1/10, independently of the scores in the other tests. What is the PMF px of the final score?

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