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The prices of concert tickets are normally distributed with a mean of $105 and a standard deviation of $3. Based on this information, Calculate the

The prices of concert tickets are normally distributed with a mean of $105 and a standard deviation of $3. Based on this information,

  1. Calculate the probability that one randomly selected ticket has a price less than $98.
  2. Calculate the probability that one randomly selected ticket has a price greater than $111.
  3. Calculate the probability that one randomly selected ticket has a price between $104 and $109.
  4. A ticketis identified as a "gold ticket"(with additional properties) if it is included in thetop2% of all tickets (in terms of price). Find the minimum priceneeded to be qualified as "gold ticket".

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