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 male AND had private instruction).

Short answer

$P(musicianisamaleANDhadprivateinstruction)=0.12$

Step-by-step solution

Content Introduction

The contingency table shown is below:

Content Explanation

It can be seen in the table that total number of musicians is $130$,out of these total musicians, $15$are male musician who learned music with private instruction. Therefore probability of male musician and a private instructor is as follow:

$$\begin{gathered} P(musicianisamaleANDhadprivateinstruction)=\frac{Totalmalemusicianswithprivateinstruction}{totalmusicians} \\ P(musicianisamaleANDhadprivateinstruction)=\frac{15}{130} \\ P(musicianisamaleANDhadprivateinstruction)=0.12 \end{gathered}$$