8. Twenty electric motors are pulled from an assembly line and inspected for defects. Eleven of the motors are free of denote the set of motors having assembly defects and F denote the set having defects on their finish. Using A and F defects,eight have defects on the exterior finish, and three have defects in their assembly and will not run. Let answer the following with proper notation and a solution. a. 14 points) Develop a Contingency Table of Ven Diagram for this question, organizing the values associated with events A and F defined above. You may express values as either frequencies or relative frequencies. b. 12 points] What is the probability of A? Probability Notation: Solution: c. [2 points] What is the probability of F? Probability Notation: Solution: d. 12 points] What is the probability that a motor has no defect? Probability Notation Solution: 13 points] What is the probability that a motor has an assembly defect, given it does not have a finish defect? e. Probability Notation: Solution:

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