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What percentage of rooms are expected to pay

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Problem 1: Assume that visitors of a hotel on average pay $20 for minibar per night per room, with a standard deviation of $3. Assume further that minibar expenses are normally distributed.

  • What percentage of rooms are expected to pay more than $25 per night, i.e. P(x > 25)
  • What percentage of rooms are expected to pay more than $40 per night, i.e. P( x > 40)?
  • What percentage of rooms are expected to pay less than $12 per night, i.e. P( x < 12)?
  • What percentage of rooms are expected to pay between $18 and $24, i.e. P(18 < x < 24)?
  • What percentage of rooms are expected to pay between $16 and $19, i.e. P (16 < x < 19)?

Problem 2: Assume that the time needed to complete the final project for a particular course is normally distributed with a mean of 120 hours and a standard deviation of 10 hours.

  • What percentage of the class is expected to complete the project within 90 hours?
  • What percentage of the class is predicted to NOT complete the project within 120 hours?
  • If the time limit for the project is 140 hours and there are 600 students in the class, how many of them do you expect to not complete the project within the allocated time? (remember that the result has to be an integer)

Reference no: EM132436377

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