Question

The data represent the membership of a group of politicians. If we randomly select one​ politician, what is the probability of getting given that a was​ selected?

Answer 1

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
`P(k) = 0.647`

Explanation:

From the question we are told that

The sample size of male is
`n_m = 11 + 6 =17`

The number of male Republican is
`k = 11`

Generally the probability of getting a Republican given that a male was selected is

`P(k) = (k)/(n_m)`

substituting values

`P(k) = ( 11)/(17)`

`P(k) = 0.647`