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Applied Quantitative Methods.

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Added on  2021-06-14

Applied Quantitative Methods.

   Added on 2021-06-14

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Applied Quantitative MethodsHA1011[Pick the date]Student Name
Applied Quantitative Methods._1
Question 5Segments P(A)=0.55P(B)=0.30P(C)=0.1P(D)=0.05Now, a.Probability that a consumer comes from segment A and prefer product X over Y and Z.P(X|A)=0.20P(X|B¿=0.35P(X|C)=0.60P(X|D)=0.90P(X)=P(A)∗P(X|A)+P(B)∗P(X|B)+P(C)∗P(X|C)+P(D)∗P(X|D)¿(0.55∗0.2)+(0.3∗0.35)+(0.1∗0.6)+(0.05∗0.9)=0.32Probability that a consumer comes from segment A and prefer product X over Y and ZP(A|X)=P(A)∗P(X|A)P(X)=(0.55∗0.2)0.32=1132b.Probability that a randomly selected costumer’s first preference is product XP(X)=P(A)∗P(X|A)+P(B)∗P(X|B)+P(C)∗P(X|C)+P(D)∗P(X|D)P(X)=(0.55∗0.2)+(0.3∗0.35)+(0.1∗0.6)+(0.05∗0.9)1
Applied Quantitative Methods._2

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