There are four presidential candidates in a country. A street survey was conducted asking 2,500 registered voters which candidate they will vote for in the coming election. The table summarizes the results of the survey.
Presidential Candidates Number of Supporters
Candidate 1 250
Candidate 2 1,250
Candidate 3 450
Candidate 4 550
Part 1: What is the probability of randomly selecting a person who will vote for Candidate 1 or 2?
(2 points)
Responses
2502500
250 over 2500
15002500
1500 over 2500
10002500
1000 over 2500
12502500
1250 over 2500
Question 2
Part 2: If 1,000 more voters are surveyed, how many of them will likely prefer Candidate 3 or 4? Show your work and explain your answer.(2 points)
To find out how many of the additional 1,000 voters will likely prefer Candidate 3 or 4, we first need to calculate the proportion of voters who prefer Candidate 3 or 4 in the original survey.
Candidate 3: 450 supporters out of 2500 total voters
Probability of supporting Candidate 3: 450/2500 = 0.18
Candidate 4: 550 supporters out of 2500 total voters
Probability of supporting Candidate 4: 550/2500 = 0.22
Combined probability of supporting Candidate 3 or 4: 0.18 + 0.22 = 0.4
Now, applying this combined probability to the additional 1,000 voters, we can calculate how many of them will likely prefer Candidate 3 or 4:
0.4 x 1000 = 400 voters
Therefore, out of the additional 1,000 voters surveyed, 400 of them will likely prefer Candidate 3 or 4.