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A pesticide manufacturer bottles insecticide labelled as 1 Liter (1000 ml). However, the volume of insecticide produced in 1400 bottles on a weekly basis is

A pesticide manufacturer bottles insecticide labelled as 1 Liter (1000 ml). However, the volume of insecticide produced in 1400 bottles on a weekly basis is normally distributed with a of 998 ml and of 4 ml.

  1. How many bottles would contain at least () 994 ml of insecticide?
  2. How many bottles would contain between 990 ml and 1006 ml of insecticide?
  3. As per manufacturer's guidelines, any bottle containing no more than () 990 ml will count as rejects. How many bottles would be rejected every week?
  4. What is the minimum volume of the most filled 2.5% of bottles?
  5. What is the maximum volume of the least filled 2.5% of bottles?

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