Information from a poll of registered voters in Cedar Rapids, Iowa, to assess voter support for a new school tax was the basis for the following statements (Cedar Rapids Gazette, August 28, 1999):
The poll showed 51% of the respondents in the Cedar Rapids school district are in favor of the tax. The approval rating rises to 56% for those with children in public schools. It falls to 45% for those with no children in public schools. The older the respondent, the less favorable the view of the proposed tax: 36% of those over age 56 said they would vote for the tax compared with 72% of 18- to 25-year-olds. Suppose that a registered voter from Cedar Rapids is selected at random, and define the following events:
F = event that the selected individual favors the school tax
C = event that the selected individual has children in the public schools
O = event that the selected individual is over 56 years old Y 5 event that the selected individual is 18-25 years old
a. Use the given information to estimate the values of the following probabilities:
b. Are F and C independent? Justify your answer.
c. Are F and O independent? Justify your answer.