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. -0.01 pe (1– p)e -20 pe (1- p)e02 (A) 100 10,000 100 10,000 0.01 ре (1- рlе (1– p)e02 -20 ре (B) 100 10,000 100 10,000 (1– p)e 0d (1– p)e02 -0.01 -20 ре (1-р)е pe 100 (C) 100 10,000 10,000 (1– p)e ®2 -0.01 pe (1– p)e -20 -0.2 ре (D) 100 10,000 100 10,000 -0.01 -20 (E) p. 100 10,000 +(1- )| 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. -0.01 pe (1– p)e -20 pe (1- p)e02 (A) 100 10,000 100 10,000 0.01 ре (1- рlе (1– p)e02 -20 ре (B) 100 10,000 100 10,000 (1– p)e 0d (1– p)e02 -0.01 -20 ре (1-р)е pe 100 (C) 100 10,000 10,000 (1– p)e ®2 -0.01 pe (1– p)e -20 -0.2 ре (D) 100 10,000 100 10,000 -0.01 -20 (E) p. 100 10,000 +(1- )| 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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Question
![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.
-0.01
pe (1– p)e
-20
ре
(1- p)e02
(A)
100
10,000
100
10,000
(1– p)e02
0.01
ре (1- рlе
-20
ре
(B)
100
10,000
100
10,000
(1– p)e02
-0.01
-20
ре (1-р)е
pe
100
(C)
100
10,000
10,000
(1– p)e ®2
-0.01
pe (1– p)e
-20
-0.2
ре
(D)
100
10,000
100
10,000
-1
-0.01
-20
(E)
p.
+(1– p)|
+
+
100 10,000
100
10,000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b4d35de-88fd-40a5-a122-8015485b71a5%2F1a6bf9c0-45a6-48dd-b79b-d7b09ecd1c28%2F59bv5r4m_processed.jpeg&w=3840&q=75)
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.
-0.01
pe (1– p)e
-20
ре
(1- p)e02
(A)
100
10,000
100
10,000
(1– p)e02
0.01
ре (1- рlе
-20
ре
(B)
100
10,000
100
10,000
(1– p)e02
-0.01
-20
ре (1-р)е
pe
100
(C)
100
10,000
10,000
(1– p)e ®2
-0.01
pe (1– p)e
-20
-0.2
ре
(D)
100
10,000
100
10,000
-1
-0.01
-20
(E)
p.
+(1– p)|
+
+
100 10,000
100
10,000
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