A car insurance company has n = 1600 policy holders. The expected claim paid to a policy holder during a year is μ = $1000 with a standard deviation of o= $700. What premium should the company charge each policy holder to assure that with probability p = 0.9, the premium will cover the cost of the claims? Compute the answer using the Central Limit Theorem.

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 car insurance company has n = 1600 policy holders. The expected claim paid to a
policy holder during a year is μ = $1000 with a standard deviation of o= $700. What
premium should the company charge each policy holder to assure that with probability
p = 0.9, the premium will cover the cost of the claims? Compute the answer using the
Central Limit Theorem.
Transcribed Image Text:A car insurance company has n = 1600 policy holders. The expected claim paid to a policy holder during a year is μ = $1000 with a standard deviation of o= $700. What premium should the company charge each policy holder to assure that with probability p = 0.9, the premium will cover the cost of the claims? Compute the answer using the Central Limit Theorem.
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