Losses come from a mixture of an exponential distribution with mean 100 with probability p and an exponential distribution with mean 10,000 with probability 1- p. Losses of 100 and 2000 are observed. Determine the likelihood function of p. pe (1– p)e00 20 (1– p)e“ -0.2 (A) pe 100 10,000 100 10,000 pe (1- p)e 00 -20 pe 100 (1– p)e02 -0.2 (B) 100 10,000 10,000 pe (1– p)e01 pe 20 (1– p)e-02 -0.01 (C) 100 10,000 100 10,000 (1– p)e -0.01 (1– p)e02 pe -20 pe 100 (D) 100 10,000 10,000 e-0.01 +(1–, (E) e20 p. 100 10,000 100 10,000
Losses come from a mixture of an exponential distribution with mean 100 with probability p and an exponential distribution with mean 10,000 with probability 1- p. Losses of 100 and 2000 are observed. Determine the likelihood function of p. pe (1– p)e00 20 (1– p)e“ -0.2 (A) pe 100 10,000 100 10,000 pe (1- p)e 00 -20 pe 100 (1– p)e02 -0.2 (B) 100 10,000 10,000 pe (1– p)e01 pe 20 (1– p)e-02 -0.01 (C) 100 10,000 100 10,000 (1– p)e -0.01 (1– p)e02 pe -20 pe 100 (D) 100 10,000 10,000 e-0.01 +(1–, (E) e20 p. 100 10,000 100 10,000
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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
Transcribed Image Text:Losses come from a mixture of an exponential distribution with mean 100 with probability p
and an exponential distribution with mean 10,000 with probability 1- p.
Losses of 100 and 2000 are observed.
Determine the likelihood function of p.
pe' (1– p)e00
20 (1– p)e“
-0.2
(A)
ре
100
10,000
100
10,000
pe (1– p)e00
-20
(1– p)e0²
0.2
(B)
pe
100
10,000
100
10,000
pe (1– p)e01
-0.01
Pe20
100
(C)
(1– p)e-02
100
10,000
10,000
pe . (1– p)e-0
-0.01
-20
(D)
pe
+
(1– p)e-02
100
10,000
100
10,000
el
p.
100 10,000
e-0.01
(E)
+(1–
e20
100 10,000
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