Calculate electrical, and mechanical defects, Operation Management

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Test results from an electronic circuit board indicate that 50% of board failures are caused by assembly defects, 30% are due to electrical components, and 20% are due to mechanical defects. Suppose that 10 boards fail independently. Let the random variables X, Y, and Z denote the number of assembly, electrical, and mechanical defects among the 10 boards.
Calculate P(X=8).


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