Question 1
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
a.What is the probability of randomly selecting a person who will vote forCandidate 1 or 2?
b.If 1,000 more voters are surveyed, how many of them will likely preferCandidate 3 or 4? Explain the answer.
a. To find the probability of randomly selecting a person who will vote for Candidate 1 or 2, we need to add up the number of supporters for Candidate 1 and Candidate 2 and divide by the total number of voters surveyed.
Total number of supporters for Candidate 1 and 2 = 250 + 1250 = 1500
Total number of voters surveyed = 2500
Probability = (1500/2500) = 0.6 or 60%
b. If 1,000 more voters are surveyed, we can assume that the distribution of supporters for each candidate remains the same. Therefore, we can use the same proportion to estimate the number of voters who will prefer Candidate 3 or 4.
Total number of supporters for Candidate 3 and 4 = 450 + 550 = 1000
Probability = 1000/2500 = 0.4 or 40%
If 1,000 more voters are surveyed,
Number of voters who will likely prefer Candidate 3 or 4 = 0.4 * 1000 = 400
Therefore, out of the additional 1,000 voters surveyed, it is likely that around 400 of them will prefer Candidate 3 or 4.