Question

ch 12* here is the probability model for the political affiliation of a randomly chosen adult in the united states.

political affiliation	republican	independent	democrat	other

the probability that a randomly chosen american adults political affiliation is \other\ must be

0.03.

any number between 0 and 1.

0.30.

0.00.

Explanation:

Step1: Recall probability rule

The sum of probabilities of all possible outcomes in a probability - model is 1. Let \(P(\text{Other}) = x\). Then \(P(\text{Republican})+P(\text{Independent})+P(\text{Democrat})+P(\text{Other}) = 1\).

Step2: Substitute known values

We know that \(P(\text{Republican}) = 0.25\), \(P(\text{Independent}) = 0.42\), and \(P(\text{Democrat}) = 0.30\). So, \(0.25 + 0.42+0.30+x = 1\).

Step3: Solve for \(x\)

First, add the known probabilities: \(0.25 + 0.42+0.30=0.97\). Then, \(x=1 - 0.97\). So, \(x = 0.03\).

Answer:

0.03