Question

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).

Short answer

$P(musicianisafemale)=0.554$

Step-by-step solution

Content Introduction

The contingency table shown below:

Content Explanation

It can be seen in the table that total number of musicians is $130$,out of these total musicians, $72$are female musician. Therefore probability of female musician is as follow:

$$\begin{gathered} P(musicianisafemale)=\frac{totalfemalemusician}{totalmusician} \\ P(musicianisafemale=\frac{72}{130} \\ P(musicianisafemale=0.554 \end{gathered}$$