Information from a poll of registered voters in a city to assess voter support for a new school tax was the basis for the following statements. The poll showed 51% of the respondents in this city's school district are in favor of the tax. The approval rating rises to 58% for those with children in public schools. It falls to 46% for those with no children in public schools. The older the respondent, the less favorable the view of the proposed tax: 39% of those over age 56 said they would vote for the tax compared with 71% of 18- to 25-year-olds. Suppose that a registered voter from this city 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 = event that the selected individual is 18-25 years old (a) Use the given information to estimate the values of the following probabilities. (1) P(F) (II) P(FIC) (II) P(FICC) (iv) P(F|O) (v) P(FIY)

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6.5.4.1

Information from a poll of registered voters in a city to assess voter support for a new school tax was the basis for the following statements.
The poll showed 51% of the respondents in this city's school district are in favor of the tax. The approval rating rises to 58% for those with children in public schools. It falls to
46% for those with no children in public schools. The older the respondent, the less favorable the view of the proposed tax: 39% of those over age 56 said they would vote for
the tax compared with 71% of 18- to 25-year-olds.
Suppose that a registered voter from this city 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 = event that the selected individual is 18-25 years old
(a) Use the given information to estimate the values of the following probabilities.
(1) P(F)
(ii) P(FIC)
(iii) P(FIC)
(iv) P(FO)
(v) P(F|Y)
Transcribed Image Text:Information from a poll of registered voters in a city to assess voter support for a new school tax was the basis for the following statements. The poll showed 51% of the respondents in this city's school district are in favor of the tax. The approval rating rises to 58% for those with children in public schools. It falls to 46% for those with no children in public schools. The older the respondent, the less favorable the view of the proposed tax: 39% of those over age 56 said they would vote for the tax compared with 71% of 18- to 25-year-olds. Suppose that a registered voter from this city 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 = event that the selected individual is 18-25 years old (a) Use the given information to estimate the values of the following probabilities. (1) P(F) (ii) P(FIC) (iii) P(FIC) (iv) P(FO) (v) P(F|Y)
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