Question

I need help with this problem stuck between 2 answers

Answer 1

From the given table, we have:

Liberal Moderate Conservative

High school only 19 20 12

College 15 24 10

Let's find the probability that a randomly selected person is moderate given that they have attended college.

Where:

Total number of students = 19 + 20 + 12 + 15 + 24 + 10 = 100

Apply the formula:

`P(moderate|college)=\frac{P(moderate\text{ and college\rparen}}{P(college)}`

Where:

P(moderate and college) = 24/100 = 6 /25

P(college) = (15 + 24 + 10)/100 = 49/100

hence we have:

`\begin{gathered} P(moderate|college)=((6)/(25))/((49)/(100)) \\ \\ =(6*100)/(25*49) \\ \\ =(24)/(49) \end{gathered}`

Therefore, the probability is 24/49

ANSWER:

`(24)/(49)`