9. The following table shows the outcome of 500 interviews completed during a survey to study the...

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9. The following table shows the outcome of 500 interviews completed during a survey to study the opinions of residents of a certain city about legalized abortion. The data are also classified by the area of the city in which the questionnaire was attempted.

Outcome Area of City For

(F)

Against

(Q)

Undecided

(R) Total A 100 20 5 125 B 115 5 5 125 D 50 60 15 125 E 35 50 40 125 Total 300 135 65 500

a. If a questionnaire is selected at random from the 500, what is the probability that:

1. The respondent was for legalized abortion?

2. The respondent was against legalized abortion?

3. The respondent was undecided?

4. The respondent lived in area A? B? D? E?

5. The respondent was for legalized abortion, given that he/she resided in area B?

6. The respondent was undecided or resided in area D?

b. Calculate the following probabilities:

1. P(A n R) 2. P(Q U /3) 3. P(D)

4. P(Q1D) 5. MIR) 6. P(F)

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