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A political scientist asked a group of people how they felt about two political policy statements. Each person was to respond A (agree), N (neutral), or D (disagree) to each policy statement. a. Describe the sample space; that is, list all possible response combinations to the two statements. __________________________________________ b. Assuming each response combination in part (a) is equally likely, what is the probability the person being interviewed agrees with at least one of the two policy statements

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Answer:

Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD) ;

0.556

Step-by-step explanation:

Given :

Possible outcome of each policy statement = (A, N, D)

Number of statements = 2

Sample space = 3² = 9

Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD)

Probability that a person agrees with atleast one of the 2 policy statements :

Probability = required outcome / Total possible outcomes

Required outcome = (AA, AN, AD, NA, DA) = 5

HENCE, P(person agrees with atleast one of the 2 policy statements) = 5 /9 = 0.556