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24-05-2023
Mathematics

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Problem: The joint PMF for r.v.s M, N is given as follows: PM,N(m, n) = c. (m·n) if 1 ≤ m ≤ 3 and 1 ≤ n ≤ 2 and it is zero else. Find: (a) The value of c (b) The marginal PMF of M (c) The marginal PMF of N (d) The conditional PMF, PMN (m/n) (e) The MMSE E(MIN = 2) (f) The Var (M|N = 1) (g) Find the Probability that N = M

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