Question

M, and 4 represeent the low: midose, and upberincome aroups, fesgectively, and lat the letters f, o, and y represent their respenses-faror, opposo, and undecided, respectively.

(a) Describe a sample space s correspensing to this poll. sin
(b) Detoribe the avent F1​ that a respondent favors the proposition. f1​={1, } (c) Describe the event F2​ that a respondent opposes the proposition and doet not belong to the lomincome groue: cis2​=1

Answer 1

The student is asking about constructing a sample space for a poll considering different income groups and responses, as well as describing specific events that include favoring or opposing the proposition.

Step-by-step explanation:

The student's question is related to the creation of a sample space and the description of specific events in the context of a poll with different income groups and responses. For part (a), the sample space S would consist of all possible combinations of the given income groups (1, 2, 4) and the possible responses (f, o, y). As an example, the combination '1f' would represent a low-income respondent favoring the proposition.

For part (b), the event F1 would include all combinations where any income group favors the proposition, thus F1 = {1f, 2f, 4f}.

For part (c), the event F2 describes those respondents who oppose the proposition and are not from the low-income group. This means they could either be from the middle-income or upper-income groups. Therefore, the event F2 would be {2o, 4o}.