Fall 2017 Math 108 MWF 10-10:50 AM Canvas Quiz: Chapter 4 Quiz Submit Quz 1 pt T

Question

Fall 2017 Math 108 MWF 10-10:50 AM Canvas Quiz: Chapter 4 Quiz Submit Quz 1 pt This Quiz: 12 pts Ouestion Hep * t survey questions. A market researcher is not interested in efusals or subjects below 22 years of age ar over 59. Find the that the selected person refused to answer or is below 22 orolder than 59 404950-59 60 and over 20 Refused 15 24 37 30 30 61 below 22oris older than 59 is The probabityhat a randomly selected person roused to answer the survey quesion or Do not round until the final answer. Then round to teee decimal places as needed.) Enter your answer in the answer box

Explanation / Answer

                              18-21     22-29         30-39         40-49          50-59      60 and above           Total

Responded               78           260          260           141               143          207                    1089

Refused                   15             24           37             30                39            61                       206

Total                      93              284           297        171               182           268                  1295

Let:
A = refused

B = below 22

C = older than 59

P(A OR B OR C) = P(A) + P(B) + P(C) - P(AB) - P(BC) - P(CA) + P(ABC)

P(A) = 206/1295 = 0.1591

P(B) = 93/1295 = 0.0718

P(C) = 268/1295 = 0.2069

P(AB) = 15/1295 = 0.0116

P(BC) = 0

P(CA) = 61/1295 = 0.0471

P(ABC) = 0

Substituting, we get the required probability = 0.3791

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