a. To find the probability of randomly selecting a person who will vote for Candidate 1 or 2, we need to add the number of supporters for Candidate 1 and Candidate 2 and then 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 = Number of supporters for Candidate 1 and 2 / Total number of voters surveyed
Probability = 1500 / 2500
Probability = 0.6 or 60%
Therefore, the probability of randomly selecting a person who will vote for Candidate 1 or 2 is 60%.
b. If 1,000 more voters are surveyed, we can assume that the distribution of supporters for each candidate remains consistent. From the current results, we can calculate the proportion of supporters for Candidate 3 and 4 and apply it to the additional 1,000 voters.
Supporters for Candidate 3 = 450
Supporters for Candidate 4 = 550
Total supporters = 450 + 550 = 1000
Proportion of supporters for Candidate 3 = 450 / 1000 = 0.45
Proportion of supporters for Candidate 4 = 550 / 1000 = 0.55
If we survey an additional 1000 voters, we can estimate that:
Number of voters likely to prefer Candidate 3 = 0.45 * 1000 = 450
Number of voters likely to prefer Candidate 4 = 0.55 * 1000 = 550
Therefore, if 1,000 more voters are surveyed, an estimated 450 of them will likely prefer Candidate 3, while 550 will likely prefer Candidate 4.
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 for
Candidate 1 or 2?
b. If 1,000 more voters are surveyed, how many of them will likely prefer
Candidate 3 or 4? Explain the answer
1. Part 1: 1500/2500. Part 2: mine is grading but here's what I put. If we survey another 1000 people we anticipate that approximately 180 will favor candidate 3 while 820 will lean towards candidate 4.
5 answers
shorter pls
a. Probability of selecting Candidate 1 or 2 = (250 + 1250) / 2500 = 0.6 or 60%
b. If 1,000 more voters are surveyed, approximately 450 will prefer Candidate 3 and 550 will prefer Candidate 4 based on the current proportions.
b. If 1,000 more voters are surveyed, approximately 450 will prefer Candidate 3 and 550 will prefer Candidate 4 based on the current proportions.
If 1,000 more voters are surveyed, we can assume that the distribution of supporters for each candidate remains consistent. From the current results, we can calculate the proportion of supporters for Candidate 3 and 4 and apply it to the additional 1,000 voters.
Supporters for Candidate 3 = 450
Supporters for Candidate 4 = 550
Total supporters = 450 + 550 = 1000
Proportion of supporters for Candidate 3 = 450 / 1000 = 0.45
Proportion of supporters for Candidate 4 = 550 / 1000 = 0.55
If we survey an additional 1000 voters, we can estimate that:
Number of voters likely to prefer Candidate 3 = 0.45 * 1000 = 450
Number of voters likely to prefer Candidate 4 = 0.55 * 1000 = 550
Therefore, if 1,000 more voters are surveyed, an estimated 450 of them will likely prefer Candidate 3, while 550 will likely prefer Candidate 4.
make it look and sound like a 7th grader
Supporters for Candidate 3 = 450
Supporters for Candidate 4 = 550
Total supporters = 450 + 550 = 1000
Proportion of supporters for Candidate 3 = 450 / 1000 = 0.45
Proportion of supporters for Candidate 4 = 550 / 1000 = 0.55
If we survey an additional 1000 voters, we can estimate that:
Number of voters likely to prefer Candidate 3 = 0.45 * 1000 = 450
Number of voters likely to prefer Candidate 4 = 0.55 * 1000 = 550
Therefore, if 1,000 more voters are surveyed, an estimated 450 of them will likely prefer Candidate 3, while 550 will likely prefer Candidate 4.
make it look and sound like a 7th grader
If we ask more people, we think the same ratio of supporters will like Candidates 3 and 4 as before. Right now, 450 people like Candidate 3 and 550 like Candidate 4 out of 1,000 supporters total. That means if we ask 1,000 more people, about 450 will probably like Candidate 3, and about 550 will probably like Candidate 4.
1 answer