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A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/λ, where X is a positive parameter. Let the unit of time be an hour. Question 23 Which expression below may serve as a representation for S(t) ? Are the processes K₁1 and Kt2 independent? Kt1 + Kt2. No. Kt1 +Kt2. Yes. 2Kt1 + 5Kt2. Yes. K+Kt2, No.

A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/λ, where X is a positive parameter. Let the unit of time be an hour. Question 23 Which expression below may serve as a representation for S(t) ? Are the processes K₁1 and Kt2 independent? Kt1 + Kt2. No. Kt1 +Kt2. Yes. 2Kt1 + 5Kt2. Yes. K+Kt2, No.

A First Course in Probability (10th Edition)
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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A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process N in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a positive parameter. Let the unit of time be an hour. Question 23 Which expression below may serve as a representation for S(t) ? Are the processes Kt1 and K+2 independent? Kt1 + Kt2. No. Kt1 +Kt2. Yes. 2Kt1 + 5Kt2. Yes. Kt₁ + Kt2, No. Question 24 Compute E{S(t)} 3Xt Xt 3xt/2 5Xt 2λt
Transcribed Image Text:A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process N in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a positive parameter. Let the unit of time be an hour. Question 23 Which expression below may serve as a representation for S(t) ? Are the processes Kt1 and K+2 independent? Kt1 + Kt2. No. Kt1 +Kt2. Yes. 2Kt1 + 5Kt2. Yes. Kt₁ + Kt2, No. Question 24 Compute E{S(t)} 3Xt Xt 3xt/2 5Xt 2λt
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