Question

A survey was conducted among Canadians and Americans to determine their attitudes toward NAFTA (North American Free Trade Agreement). Seventy percent of those participating in this survey were Americans. Of those Americans surveyed, 60% were in favour of getting rid of NAFTA. Of those Canadians surveyed, 25% were in favour of getting rid of NAFTA. If one individual participating in this survey was randomly selected for additional questioning determine the following. (Show your work and highlight your final answers either with a highlighter or by placing a box around it. Calculate all probabilities to 4 decimal places if necessary.)

1. The probability that the person chosen was Canadian.

2. The probability that the person chosen was American and was in favour of getting rid of NAFTA.

3. The probability that the person chosen was Canadian and was in favour of getting rid of NAFTA.

4. The probability that the person chosen was in favour of getting rid of NAFTA.

5. The probability that the person chosen was American knowing that this person was not in favour of getting rid of NAFTA.

Answer 1

solution :- F: Favour getting rid of NAFTA ci candian nong A: American PV) - 0 . 0.25 P(A) = 0.7 : 0.6 Pr) - 0.3 0.3 a ple): 1-PIA) = 1-0.75 b) P(AOF) = P ..) Pla=0.64 0.7 0.42 e) PlanF) 0.258o.3 - pl).Ple) = - 0.075 d) PLES) . P(A) 11-114) PIAS ((*) PLEOA APIEN (1-0-6)* 0.7 1- {0.42 +0.075} 0.5545