Apply the formula for calculating the probability of events a or b there are four presidential candidates in a country a street survey was conducted asking 2000 and 500 registered voters which candidate they will vote for in the coming election the table summarizes the results of the surveys. There are four presidential candidates in a country a street survey was conducted asking 2500 registered voters which candidate they will vote for in the coming election the table summarizes the results of the survey presidential candidates candidate one number of supporters 250 candidate two number of supporters is 1250 candidate three number supporters 450 candidate four number of supporters 550. What is the probability of randomly selecting a person who will vote for Kenneth 1 or 2? If 1000 more voters are surveyed how many of them will likely prefer candidate 3 or four?

Question

Apply the formula for calculating the probability of events a or b there are four presidential candidates in a country a street survey was conducted asking 2000 and 500 registered voters which candidate they will vote for in the coming election the table summarizes the results of the surveys. There are four presidential candidates in a country a street survey was conducted asking 2500 registered voters which candidate they will vote for in the coming election the table summarizes the results of the survey presidential candidates candidate one number of supporters 250 candidate two number of supporters is 1250 candidate three number supporters 450 candidate four number of supporters 550. What is the probability of randomly selecting a person who will vote for Kenneth 1 or 2? If 1000 more voters are surveyed how many of them will likely prefer candidate 3 or four?

Answer 1

To calculate the probability of randomly selecting a person who will vote for candidate 1 or 2, we first need to calculate the total number of supporters for candidate 1 and 2:

Total supporters for candidate 1 and 2 = 250 + 1250 = 1500

Total number of voters surveyed = 2500

Probability = (Total supporters for candidate 1 and 2) / (Total number of voters surveyed) = 1500 / 2500 = 0.6

So, the probability of randomly selecting a person who will vote for candidate 1 or 2 is 0.6.

If 1000 more voters are surveyed, the total number of voters surveyed will be 2500 + 1000 = 3500.

To calculate the number of voters who will likely prefer candidate 3 or 4 out of the additional 1000 surveyed, we first need to calculate the proportion of supporters for candidate 3 and 4:

Supporters for candidate 3 = 450 out of 2500
Proportion of supporters for candidate 3 = 450 / 2500

Supporters for candidate 4 = 550 out of 2500
Proportion of supporters for candidate 4 = 550 / 2500

Expected number of voters who will prefer candidate 3 or 4 out of the additional 1000 surveyed = (Proportion of supporters for candidate 3 + Proportion of supporters for candidate 4) * 1000

Expected number of voters = (450/2500 + 550/2500) * 1000 = (0.18 + 0.22) * 1000 = 400

So, out of the additional 1000 voters surveyed, 400 of them will likely prefer candidate 3 or 4.