) Geometric distribution p(x) = p²-¹(1 - p); ) Poisson distribution p(x) = e-; 21

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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Exercise 7: Verify that following are members of exponential family:
a) Geometric distribution p(x) = p-¹(1-p);
b) Poisson distribution p(x) = -¹;
c) Normal distribution N(μ, 0²);
d) Beta distribution.
Transcribed Image Text:Exercise 7: Verify that following are members of exponential family: a) Geometric distribution p(x) = p-¹(1-p); b) Poisson distribution p(x) = -¹; c) Normal distribution N(μ, 0²); d) Beta distribution.
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