Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - Chapter Summary, Review, and Test - Review Exercises - Page 762: 108

Answer

See below.

Work Step by Step

a) By definition, the expected value is the sum of each outcome multiplied by its probability. Hence here the expected value: $0.9999995\cdot0+0.0000005\cdot1000000=0.5$. This means that in the long run they are expected to pay $0.5$ per claim. b) Thus they should charge $0.5+9.5=10$ per claim.
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