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An electronic fuse is produced by two production lines in a manufacturing operation. Assume that both production lines are independent and produce fuses at the same rate and the probability of a defective fuse is the same for both lines. One day a customer received 5 fuses from both lines and tested them.

a) Define random variables Y1 and Y2. What distribution does Y1+Y2 follow? What distribution does Y1 and Y2 follow?

b) Given that there are a total of 6 defective fuses among both lines, what is the probability of finding three defective fuses from line 1?

c) What distribution does Y1|(Y1 + Y2) follow?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91021289

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