The results from an electronic circuit board indicate that 50% of board failures are caus assembly defects, 30% by electrical components, and 20% by 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. Find the probability that there will be 5 assembly, 2 mechanical and 3 electrical defects. Answer: