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A bank auditor claims that credit card balances are normally distributed with mean $3000 and standard deviation $500. 

  1. What is the probability that a randomly selected credit card holder has a card balance less than $2500?
  2. What is the probability randomly selected card holder has a balance exactly equal to $3000?
  3. What percentage of card holders have card balances between $2700 and $3700?
  4. Suppose the auditor randomly select two card holders. What is the probability both of them have card balances more than 2500?

Statistics and Probability, Statistics

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