Question

The table shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female).

Short answer

The required solution is$P\left(\text{Musicianisafemale}\right)=0.55384.$

Step-by-step solution

Given information

The table shows a random sample of musicians and how they learned to play their instruments :

Calculation

There are total $130$musicians and out of which $72$females and $58$males.

So by using formula to calculate probability which is no. of favorable outcomes divided by total no. of outcomes we get :

$$\begin{gathered} P\left(\text{Musician is a female}\right)=\frac{\text{No. of female musician}}{\text{Totalno.of musician}} \\ P\left(\text{Musician is a female}\right)=\frac{72}{130}=0.55384 \end{gathered}$$

Final answer

The probability is$P\left(\text{Musician is a female}\right)=0.55384$.