SOLUTION: In a town, 70% of the citizens are Republicans and 30% are Democrats. In the last election, 55% of the Republicans voted and 65% of the Democrats voted. If a voter is randomly sele

Algebra ->  Probability-and-statistics -> SOLUTION: In a town, 70% of the citizens are Republicans and 30% are Democrats. In the last election, 55% of the Republicans voted and 65% of the Democrats voted. If a voter is randomly sele      Log On


   

Question 970991: In a town, 70% of the citizens are Republicans and 30% are Democrats. In the last election, 55% of the Republicans voted and 65% of the Democrats voted. If a voter is randomly selected, what is the probability that the person is a Republican? (Round your answer to two decimal places.)
And
In a town, 37% of the citizens contributed to the Republicans, 43% contributed to the Democrats, and 15% contributed to both. What percentage contributed to neither party?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Make a table with 1000
=========R ===== D ;;;;; Total
Voted 385 ===== 195 ;;;; 580


Non-vote 315 ==== 105 ;;;; 420
total 700 ==== 300 ;;;; 1000
Prob (Republican)=385/580=0.66

Prob (contributor)= 0.37+0.43-0.15 (double count)=0.65
Probability non-contributor is 0.35