Q17.A) (3 marks) Time left 2:08:06 A sample of 400 components is selected from the output of a factory that uses three different machines to manufacture these components. The results are as follows: Machine 1 Machine 2 Machine 3 Total Defective 12 24 52 Non-Defective 108 Total 124 140 400 a) What is the probability the component is defective OR it is made in Machine 3? b) What is the probability that the component is not made by Machine 1 GIVEN THAT it is Defective?
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The probability that the component is defective is 176/400 = 0.44. Since we don't have any information about the number of defective components made by Machine 3, we can assume that all defective components are made by either Machine 1 or Machine 2. Show more…
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A sample of 200 components is selected from the output of a factory that uses three different machines to manufacture these components. Each component in the sample is inspected to determine whether it is defective or not. The machine that produced the component is also recorded. The results are as follows: Machine 1 Machine 2 Machine 3 Total Defective 45 15 24 84 Non-Defective 59 20 37 116 Total 104 35 61 200 What is the probability the component is defective OR it is made in Machine 3? What is the probability that the component is not made by Machine 2 GIVEN THAT it is Non-Defective?
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