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The mean chicken weight is 5lb, with a std dev of 1 lb. We want to...

The mean chicken weight is 5lb, with a std dev of 1 lb. We want to take a simple random sample of 100 chickens.  

  1. What is the probability that the sample mean is between 4.9 and 5.1 lb?
  2. What is the probability that the combined weight of the chickens between 490 and 510 lb?
  3. Find the value a, such that the combined weight exceeds a with probability 95%.
  4. Find the value b, such that the combined weight is below b with probability 99%.
  5. and similar questions

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