1. In a certain factory, machines I, lI, and IlI are all producing springs of th

Question

1. In a certain factory, machines I, lI, and IlI are all producing springs of the same length. Machines 1,11, and 111 produce 1%, 4%, and 2% defective springs, respectively. Of the total production of springs in the factory, Machine l produces 30%, Machine " produces 25%, and Machine "! produce$45% a) If one spring is selected at random from the total springs produced in a given day, determine the probability that it is defective. b) Given that the selected spring is defective, find the conditional probability that it was produced by MachineI1

Explanation / Answer

a)

P (Defective)=7/100=0.07

b)

P (Mac 2|Defective)=4/7=0.5714

| || ||| Total Defective 1 4 2 7 Non-defective 29 21 43 93 Total 30 25 45 100

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