Complete Question
The data represent the membership of a group of politicians. If we randomly select one politician, what is the probability of getting a Republican given that a male was selected?
Republican Democrat Independent
Male 11 6 0
Female 70 17 7
The probability is approximately_____?
Answer:
The probability is [tex]P(k) = 0.647[/tex]
Step-by-step explanation:
From the question we are told that
The sample size of male is [tex]n_m = 11 + 6 =17[/tex]
The number of male Republican is [tex]k = 11[/tex]
Generally the probability of getting a Republican given that a male was selected is
[tex]P(k) = \frac{k}{n_m}[/tex]
substituting values
[tex]P(k) = \frac{ 11}{17}[/tex]
[tex]P(k) = 0.647[/tex]
