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A quality-control engineer summarized the frequency of the type of defect with t

ID: 3171705 • Letter: A

Question

A quality-control engineer summarized the frequency of the type of defect with the manufacturing of a certain motor. The following table shows which of three shifts was responsible for the type of defect. What is the probability that a defective motor will have a measurement outside of its specification limits? What is the probability that a defective motor was not produced by Shift 1? What is the probability that a defective motor produced by Shift 3 does not have a misaligned component? What is the probability that a defective motor has a misaligned component or was produced by Shift 1?

Explanation / Answer

a) there are total 40 measurement outside spec out of 150 observations.

hence probability =40/150=0.2667

b)number of defective that is not produced by shift 1 =60+28=88

probabilty =88/150=0.5867

c) there are 23 defective in shift C out of 28 which are not mis aligned

probability =23/28=0.8214

d)total number of such defects =62+15+5=82

hence probability =82/150=0.5467