Question

A population of voters contains 40% Republicans and 60% Democrats. It is reported that 30% of the Republicans and 70% of the Democrats favor an election issue. A person chosen at random from this population is found to favor the issue in question. Find the conditional probability that this person is a Democrat.Solve this problem according to the following scheme. Make sure to give an appropriate answer for eachpart.(a) Establish notation: name the relevant events.(b) In the notation of part (a), what information does the problem give you?(c) In the notation of part (a), what probability does the problem ask you to compute?(d) Write down the equation that lets you compute this answer, again in the notation of part (a).(e) Solve the problem, giving your answer as a percentage

Answer 1

A population of voters contains 40% Republicans and 60% Democrats. It is reported that 30% of the Republicans and 70% of the Democrats favor an election issue. A person chosen at random from this population is found to favor the issue in question. Find the conditional probability that this person is a Democrat.