high-speed robotic conveyor in an egg-processing facility handles eggs one by one, but breaks, on average, 3.3 eggs out of every 1000. Suppose a simple random sample of 6 eggs handled by the conveyor is selected. Find the probability that the number X of broken eggs in the sample is at least 1. An older conveyor previously used in the facility broke an average of 33 eggs out of every 1000 -- ten times as frequently. When the older conveyor was in use, would it be unusual to find at least 1 broken egg in a simple random sample of 6 eggs? Would it be unusual to find at least 2? Explain your answers.

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A high-speed robotic conveyor in an egg-processing facility handles eggs one by one, but breaks, on average, 3.3 eggs out of every 1000.

  1. Suppose a simple random sample of 6 eggs handled by the conveyor is selected. Find the probability that the number X of broken eggs in the sample is at least 1.
  2. An older conveyor previously used in the facility broke an average of 33 eggs out of every 1000 -- ten times as frequently. When the older conveyor was in use, would it be unusual to find at least 1 broken egg in a simple random sample of 6 eggs? Would it be unusual to find at least 2? Explain your answers.
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