Question

5. You have just bought the first 6 seasons of Game of Thrones through Amazon Prime, and you have decided to re-watch every episode before Season 7 begins next week. Unfortunately, you also have school and personal obligations that may impede your admirable goal. Let X be the number of seasons you are able to finish before Season 7 airs. You are given the following pmf table for X; however, one of the values is missing. 0 6 P(X 0.10 0.10 0.25 0.20 0.10 0.05 (a) Assuming the pmf is a valid one, what is the probability that you,in an extraordinary act of sheer will and poor hygiene, finish all 6 seasons? b) What is the probability that you will finish at most 4 seasons (i.e. 4 or less)? (c) What is the probability that the you will finish more than 2 but less than 6 seasons? (d) What is the expected number of seasons you will inish (given the pnf)?

Answer 1

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