Answered: Rework problem 17 from section 2.1 of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Rework problem 17 from section 2.1 of your text, involving an experiment with three possible outcomes. For this problem, assume that outcome 01 has a frequence of 4/a, outcome 02, has a frequency of 5/a, and outxome 03 has a frequency of 8/a.

What is the value of a?

Expert Solution

Step 1: Sum of the frequencies

For this problem, assume that outcome 01 has a frequency of 4/a, outcome 02, has a frequency of 5/a, and outcome 03 has a frequency of 8/a.

In this problem, you're given that the frequencies of three outcomes, denoted as 01, 02, and 03, are as follows:

$O u t c o m e space 01 space h a s space a space f r e q u e n c y space o f space 4 divided by a. space O u t c o m e space 02 space h a s space a space f r e q u e n c y space o f space 5 divided by a. space O u t c o m e space 03 space h a s space a space f r e q u e n c y space o f space 8 divided by a.$

The total frequency is usually equal to 1, as it represents the entire probability space. T

Total frequency = Frequency of Outcome 01 + Frequency of Outcome 02 + Frequency of Outcome 03

$1 space equals space 4 divided by a space plus space 5 divided by a space plus space 8 divided by a$