The rain wipers installed on a specific model of SUVs are from four suppliers. T

Question

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 Fto denote the event that a randomly selected wiper is defective Proportion Defective Rate 0.05 0.04 0.02 0.03 ier A. 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 Suppler 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

Ans:

P(defective)=P(defective/A)*P(A)+P(defective/B)*P(B)+P(defective/C)*P(C)+P(defective/D)*P(D)

=(0.15*0.05+0.2*0.04+0.25*0.02+0.4*0.03)=0.0325

8)

P(D/defective)=P(defective/D)*P(D)/P(defective)=(0.4*0.03)/0.0325=0.3692

9)

P(C/defective)=P(defective/C)*P(C)/P(defective)=(0.25*0.02)/0.0325=0.1538

10)

P(A/defective)=P(defective/A)*P(A)/P(defective)=(0.15*0.05)/0.0325=0.2308

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