Use the following scenario and data for all questions. The rain wipers installed

Question

Use the following scenario and data for all questions. The rain wipers installed on a specific model of SUVs are from four suppliers. The proportion of wipers provided by each supplier and the defective rate of each supplier for all four suppliers are listed in the following table. Use A, B, C or D to denote the event that a randomly selected wiper is from Supplier A, B, C or D, respectively. Use F to denote the event that a randomly selected wiper is defective lier Proportion Defective Rate 0.05 0.04 0.02 0.03 0.15 0.20 0.25 0.40 1.00 Total You may use the following table to do your computations. Keep four decimal digits for your answers. Supplier Proportion Defective Rate Joint Revised Probabilities Probabilities 0.15 0.20 0.25 0.40 1.00 0.05 0.04 0.02 0.03 Total

Explanation / Answer

7)

marginal probabilities

8)

P(not from suppier D|defective)=1-P(from supplier D|dfective)

=1-(0.4*0.03)/(0.15*0.05+0.2*0.04+0.25*0.02+0.4*0.03)=0.6308

9)

P(suppler C|defective)=(0.25*0.02)/(0.15*0.05+0.2*0.04+0.25*0.02+0.4*0.03) =0.1538

10)

P(not suppler A|defective)=1-P(suppler A|defective)

=1-(0.15*0.05)/(0.15*0.05+0.2*0.04+0.25*0.02+0.4*0.03) =0.7692

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