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An auditor has reviewed the financial records of a hardware store and has found that its billing errors follow a normal distribution with mean $0 and standard deviation $1.

  • What proportion of the store's billings are in error by more than $1?
  • What is the probability that a billing represents an overcharge of at least $1.5
  • What is the probability that a customer has been undercharged from $0.5 to $1.5?
  • Of the extreme undercharges, 5% would be at least what amount?

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