A health insurance company that provides insurance against death has a previous year's reserve of $2,000. Calculate the probability that it will be solvent for the entire year knowing that 100 people use the company, who pay a premium of $100 at the beginning of the year, the probability of dying during the year is 0.01, and the benefit paid is $5000. To what amount can the premium be reduced so that the above probability does not fall below 80%.?

A health insurance company that provides insurance against death has a previous year's reserve of $2,000. Calculate the probability that it will be solvent for the entire year knowing that 100 people use the company, who pay a premium of $100 at the beginning of the year, the probability of dying during the year is 0.01, and the benefit paid is $5000. To what amount can the premium be reduced so that the above probability does not fall below 80%.?

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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