Question Answered step-by-step The marketing department of an electronics manufacturer is studying the appeal of new packaging for one of its products. The following table shows the information collected from a sample of 200 consumers. The three packaging designs are labeled A, B, and C. Consumers are categorized by their age category and their preference for the packaging model. The marginal distribution for the packaging model corresponds to: a) 0.48 ; 0.52 b) 0.11 ; 0.17 ; 0.2 c) 0.27 ; 0.14 ; 0.11 d) 0.38 ; 0.31 ; 0.31 e) It is impossible to determine A consumer is randomly selected, the probability that he/she prefers packaging model A and is less than 25 years old is a) Between 10% and 15%. b) Between 15% and 20%. c) Between 20% and 25 d) Between 25% and 30 e) More than 30%. A consumer over the age of 25 is randomly selected. The probability that he/she prefers packaging model B is :a) Between 20% and 25 b) Between 25% and 30 c) Between 50% and 55%. d) Between 55% and 60%. e) More than 60%. A consumer is randomly selected. The probability that he or she is under 25 years of age or prefers packaging model C is : a) Between 20% and 25 b) Between 25% and 30%. c) Between 50% and 55%. d) Between 55% and 60 e) More than 60%. Are the events “B” and “25 years or more” independent and why? a) No, because P(“25 years or more”/B) is different from P(“25 years or more”) b) Yes, because P(B) = P(C) c) No, because P(“25 years or older” /B) is different from P(B) d) Yes, because age and packaging model are different e) No, because P(“25 years or older” and B) is different from 0 To answer the above questions, what definition of probability did you apply? a) The classical definition b) The conditional probability c) Subjective probability d) Frequentist probability e) Joint probability Math ADM 2703
