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Chapter 3: Q.56 (page 218)

Use the following information to answer the next four exercises. Table 3.15 shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female OR is self taught).

Short Answer

Expert verified

P(musicianisafemaleORisselftaught)=0.7

Step by step solution

01

Content Introduction

The contingency table shown below:

02

Content Explanation

It can be seen in the table that total number of musicians is 130,out of these total musicians, 72are female musician and 31musicians learned music by themselves. Therefore probability of musician is female or is self taught as follow:

P(musicianisafemaleORisselftaught)=P(femalemusician)+P(musicianselftaught)-P(musicianisfemaleandselftaught)P(musicianisafemaleORisselftaught)=72130+31130-12130P(musicianisafemaleORisselftaught)=0.7

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