Suppose and are independent discrete random variables. Find the PMF of L = M + N for
Question:
(a) M and N both follow a uniform distribution,
PM (k) = PN (k) = 1/K, k = 0, 1, 2… K–1.
(b) M and N follow different geometric distributions,
PM (m) = (1–p) pm , m = 0, 1, 2….
Pn (n) = (1–q) qn , m = 0, 1, 2….
(c) M and N both follow the same geometric distribution,
PM (m) = PN (m) = (1–p) pm, m = 0, 1, 2…
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Related Book For
Probability and Random Processes With Applications to Signal Processing and Communications
ISBN: 978-0123869814
2nd edition
Authors: Scott Miller, Donald Childers
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