In an insurance company the number of claims are modelled as a Poisson process with rate > 0. Assume that the size of all claims is a fixed amount a > 0, the initial surplus is denoted by u, with 0

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...
icon
Related questions
Question
In an insurance company the number of claims are modelled as a Poisson process
with rate > 0. Assume that the size of all claims is a fixed amount a > 0, the initial surplus
is denoted by u, with 0<u< a. If the premium income per unit time is 1.73Aa, find the
probability that ruin happens at the first claim.
Transcribed Image Text:In an insurance company the number of claims are modelled as a Poisson process with rate > 0. Assume that the size of all claims is a fixed amount a > 0, the initial surplus is denoted by u, with 0<u< a. If the premium income per unit time is 1.73Aa, find the probability that ruin happens at the first claim.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 10 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON