In an election for student council president at Russell Sage College, 80 students were polled and asken for whome the planned to vote. the following results of the poll were Allison 22, Emily 18, Kimberly 20 Johanna 14, Other 6. If one student from Russell Sage College is selected at random, determine the empirical probability that the person planned to vote for.
The best estimate from the data provided for any candidate = # voting for that candidate/total students polled.
To determine the empirical probability, we need to divide the number of students who planned to vote for a specific candidate by the total number of students polled. In this case, we have the following results:
Allison: 22 students
Emily: 18 students
Kimberly: 20 students
Johanna: 14 students
Other: 6 students
To find the empirical probability for each candidate, we divide the number of students who planned to vote for that candidate by the total number of students polled:
Empirical probability for Allison = 22/80 = 0.275
Empirical probability for Emily = 18/80 = 0.225
Empirical probability for Kimberly = 20/80 = 0.25
Empirical probability for Johanna = 14/80 = 0.175
Empirical probability for Other = 6/80 = 0.075
Therefore, the empirical probability that a randomly selected student from Russell Sage College planned to vote for each candidate is as follows:
Allison: 0.275
Emily: 0.225
Kimberly: 0.25
Johanna: 0.175
Other: 0.075