Question

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

Answer 1

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

0.556

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