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In a certain production company, according to the test results from a motherboard 60% of board...

In a certain production company, according to the test results from a motherboard 60% of board failures are caused by assembly defects, 20% by electrical components, and 20% by mechanical defects. Suppose that 11 boards fail independently. Consider that the number of assembly, electrical, and mechanical defects among the 11 boards are respectively denoted by the random variables X, Y, and Z.

  1. P(X=4,Y=2,Z=5)=
  2. P(X=6)=
  3. P(X=6|Y=2)=
  4. P(X=5,Y=3|Z=3)=
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In a certain production company, according to the test results from a motherboard 60% of board failures are caused by assembly defects, 20% by electrical components, and 20% by mechanical defects. Suppose that 11 boards fail independently. Consider that the number of assembly, electrical, and mechanical defects among the 11 boards are respectively denoted by the random variables X, Y, and Z. P(X=4,Y=2,Z=5)= P(X=6)= P(X=6|Y=2)= P(X=5,Y=3|Z=3)=
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