Question

A group of people were asked “What time do you prefer to see a movie? The two way table below represents the results by their age.

Answer 1

Given

The data,

To find the probability that a person will be over 30 given they prefer afternoon movies.

Step-by-step explanation:

Let A be the event that a person will be over 30 given they prefer afternoon movies.

Then,

`\begin{gathered} n(S)=70 \\ n(A)=32 \end{gathered}`

Therefore,

`\begin{gathered} P(A)=(n(A))/(n(S)) \\ =(70)/(32) \\ =0.4571 \end{gathered}`

That implies, the percentage is,

`\begin{gathered} Percentage=0.4571*100 \\ =45.7\% \\ =46\% \end{gathered}`

Hence, the approximate probability is 46%.