Question

B. A nation-wide survey included 108 people from the Northeast region, 144 people from the West region, 216 from the South region, and 132 people from the Midwest region. The survey asked people whether or not they approved of a particular government program. 81 people from the Northeast approved, 81 people from the West approved, 162 people from the South approved, and 126 people from the Midwest approved. Assume the sample use for the survey is an accurate model of the population of adult U.S. citizens.
Express all probabilities as decimals, rounded to four places.

1. If an adult U.S. citizen is picked at random, what is the probability they live in the West?

2.  If an adult U.S. citizen is picked at random, what is the probability they approve of the program?

3.  If an adult U.S. citizen is picked at random, what is the probability they live in the West and approve of the program?

4. If an adult U.S. citizen is picked at random, what is the probability they live in the West or approve of the program?

5. If an adult U.S. citizen is from the West, what is the probability they approve of the program?

Answer 1

34 Probability that they live in wait and aprove of the program P(W and A) 8L 600 =0:1350 जा Let wi live in west A! Rpprove of program P(W or A) = Plut P (A) - PCW and A) = 0.2400+ 0-7500- 0.1350 0.8550 5) PCAIW) = PCA and N) Plu) = P(ul and A) PD) 0. 1350 0:2400 0.5625