4. A population of voters contains 45% Republicans, 46% democrats and the rest are independents. Assume 40% of republicans, 60% of democrats and 50% of independents favor an election issue. A person chosen at random from this population is found to favor the issue in question. Find the conditional probability this person is a democrat.
4. A population of voters contains 45% Republicans, 46% democrats and the rest are independents. Assume...
In a given county, records show that of the registered voters, 45% are Democrats, 35% are Republicans, and 20% are Independents. In an election, 80% of the Democrats, 40 % of the Republicans, and 80% of the Independents voted in favor of a parks and recreation bond proposal. If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Republican? An Independent? A Democrat?
In a given county, records show that of the registered voters, 45% are Democrats, 40% are Republicans, and 15% are Independents. In an election, 70% of the Democrats, 30% of the Republicans, and 90% of the Independents voted in favor of a parks and recreation bond proposal. If a registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Republican? An Independent? A Democrat? The probability...
40% of all registered voters are Republicans, 45% of all registered voters are Democrats and 15% of all registered voters are Independents. Among the Republican voters, 60% are men. Among the Democratic voters, 30% are men. Finally among the Independent voters, 20% are men. a. A person is selected at random from the population. What is the probability this person is a man? b. A person is selected at random from the population and is found to be a woman....
In County A 50% of the registered voters are Democrats, 30% are Republicans, and 20% are Independents. During a recent election, 35% of the Democrats voted, 65% of the Republicans voted, and 75% of the Independents voted. a) What is the probability that a randomly selected registered voter from County A voted in the recent election? b) If a randomly selected registered voter from County A voted in the recent election, what is the probability that the voter is a...
Step by Step Bayes Theorem In an imagined survey of voters, you found 55 % of the voters were Democrats and the rest were Republicans. You also found 90 % of the Democrats voted President Obama but only 14 % of the Republicans did. 55%, or, P(D) 0.55. First some easy questions. You clearly know that the probability voter is a Democrat What is the probability a voter is a Republican, P(D')? What is the probability of somebody voting for...
A total of 46% of voters in a certain city classify themselves as Independents; 30% as Liberals and 24% as Conservatives. In a recent election, 35% of the Independents, 62% of the Liberals, and 58% of the conservatives voted. A voter is chosen at random. Given that this person voted, what is the probability that he or she is (a) an Independent? (b) a Liberal? (c) an Conservative? (d) What fraction of the voters participated in the election?
The table below represents the number of republicans, democrats and independent voting on a specific issue. A person from the group is randomly selected. What is the probability of i. The person being a democrat. ii. The person being against the issue. iii. The person being against the issue OR being a republican. iv. The person being not concerned and an independent. Republicans Democrats Independents FOR 55 40 25 AGAINST 25 30 20 NOT Concerned 20 10 5
In a large city, 39% of the population are Republican, 38% are Democrats and 23% are Other. Of the republicans, 22% are in favor of the new tax measure A, of the democrats, 55% are in favor of the new tax measure A and of the others, 73% are in favor of the new tax measure A. Use the tree diagram below to answer the following question. For Republican Against Democrat Against For Other Against What is the probability that...
The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 34% are Republicans, 60% are Democrats and 6% are Independents. It is reported that 35% of the Republicans, 34% of the Democrats and 31% of Independents favor some type of corporate tax reform. Suppose a member of Congress is randomly selected and he/she is found to favor some type of corporate tax reform. What is the probability that this...
President Donald Trump has promised to pass a gun control bill to ban automatic rubber band guns. Polls show that 80% of registered Democrats favor this bill, while 70% of registered Republicans and 60% of registered Independents do not favor the bill. The distribution of party affiliation is 40% Democrat, 30% Republican, and 30% Independent. a. What is the probability that someone picked at random favors the bill? b. Suppose a randomly selected person does not favor the bill. What...