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In: Statistics and Probability

In a certain production company, according to the test results from a motherboard 30% of board...

In a certain production company, according to the test results from a motherboard 30% of board failures are caused by assembly defects, 25% by electrical components, and 45% by mechanical defects. Suppose that 9 boards fail independently. Consider that the number of assembly, electrical, and mechanical defects among the 9 boards are respectively denoted by the random variables X, Y, and Z.

  1. P(X=4,Y=2,Z=3)=
  2. P(X=7)=
  3. P(X=4|Y=4)=
  4. P(X=2,Y=4|Z=3)=

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