Statistics Question

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 1

In a sample space  S, let E1,E2,E3,..... be infinite mutually exclusive events.

The probabilities are given as,

P(E1)= c/3, P(E2)=c/9,P(E3)=c/27, ....and (so on)

The objective is to compute the value of c to generate sum of the probabilities is equal to one.

The sum of the probabilities is,

Statistics homework question answer, step 1, image 1

The above series is a geometric series, the formula for sum to infinite series is,

Statistics homework question answer, step 1, image 2

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