Recall from class that for r.v.s X1, ..., Xn that are i.i.d., we haveXn = (X1 + ... + Xn)/n .(a) Suppose that the Xi are i.i.d. Geo(p). Calculate E(Xn) and Var(Xn).(b) Suppose that the Xi are i.i.d. Pois(λ). Calculate E(Xn) and Var(Xn).
Recall from class that for r.v.s X1, ..., Xn that are i.i.d., we haveXn = (X1 + ... + Xn)/n .(a) Suppose that the Xi are i.i.d. Geo(p). Calculate E(Xn) and Var(Xn).(b) Suppose that the Xi are i.i.d. Pois(λ). Calculate E(Xn) and Var(Xn).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Recall from class that for r.v.s X1, ..., Xn that are i.i.d., we have
Xn = (X1 + ... + Xn)/n .
(a) Suppose that the Xi are i.i.d. Geo(p). Calculate E(Xn) and Var(Xn).
(b) Suppose that the Xi are i.i.d. Pois(λ). Calculate E(Xn) and Var(Xn).
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