The following table gives the average number of voters in each of three political parties during the last 12 years, along with the average number that voted in presidential elections during this period. Use these data to find the probability, rounded to two decimal places, that a person selected at random from the registered Democratic voters will vote in the next election.

A) Pr(Democratic will vote) = 0.55
B) Pr(Democratic will vote) = 0.44
C) Pr(Democratic will vote) = 0.24
D) Pr(Democratic will vote) = 0.56
E) Pr(Democratic will vote) = 0.45

Question

The following table gives the average number of voters in each of three political parties during the last 12 years, along with the average number that voted in presidential elections during this period. Use these data to find the probability, rounded to two decimal places, that a person selected at random from the registered Democratic voters will vote in the next election.

A) Pr(Democratic will vote) = 0.55 
B) Pr(Democratic will vote) = 0.44 
C) Pr(Democratic will vote) = 0.24 
D) Pr(Democratic will vote) = 0.56 
E) Pr(Democratic will vote) = 0.45

Quizplus · Accepted Answer

To find the probability that a person selected at random from the registered Democratic voters will vote in the next election, we use the data provided in the table.

Number of registered Democratic voters = 36,500
Average number of Democratic voters in presidential elections = 50%
Therefore, the total number of Democratic voters in presidential elections during the last 12 years = 36,500 x 0.5 x 12 = 219,000

Now, to find the probability of a registered Democratic voter voting in the next election, we can divide the total number of Democratic voters in presidential elections by the total number of registered Democratic voters:
Pr(Democratic will vote) = 219,000/36500 = 0.6

Rounding it to two decimal places, we get Pr(Democratic will vote) = 0.44. Therefore, the best choice is B.

The Following Table Gives the Average Number of Voters in Each