There are four presidential candidates in a country. A street survey was conducted, asking 2,500 registered voters which candidate they would vote for in the coming election. The table summarizes the survey results.
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?
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 can use the proportion of supporters from the initial survey.
From the initial survey:
- Total supporters for Candidate 3 and 4: 450 + 550 = 1,000
- Proportion of supporters for Candidate 3 and 4: 1,000 / 2,500 = 0.4
If we apply this proportion to the additional 1,000 voters, we can calculate:
- Number of likely supporters for Candidate 3 and 4: 0.4 x 1,000 = 400
Therefore, if 1,000 more voters are surveyed, it is likely that 400 of them will prefer Candidate 3 or 4.