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Suppose a student will get F in the statistics calss only if he gets less than 30 points in the nal exam or he gets FA(Failure because of Absence). (These two incidents are known as mutually exclusive.) If you look at the statistics so far, if one got F, the probability that he got F with FA is p. (P(FA|F) = p.) When the number of students who get an F in each semester is independent, the random variable X denotes the number of students who got FA among N students who got F in the 2020-lst semester. (N students got F in the 2020-lst semester.) The random variable Y denotes the number of students who got FA among M students who got F in the 2020-2nd semester. (M students got F in the 2020-2nd semester.) (1) Find the probability mass function and the moment generating function of X. (2) Using (1), nd the distribution of Z=X+Y