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:
[tex]P(moderate|college)=\frac{P(moderate\text{ and college\rparen}}{P(college)}[/tex]
Where:
P(moderate and college) = 24/100 = 6 /25
P(college) = (15 + 24 + 10)/100 = 49/100
hence we have:
[tex]\begin{gathered} P(moderate|college)=\frac{\frac{6}{25}}{\frac{49}{100}} \\ \\ =\frac{6*100}{25*49} \\ \\ =\frac{24}{49} \end{gathered}[/tex]
Therefore, the probability is 24/49
ANSWER:
[tex]\frac{24}{49}[/tex]
