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A dentist notices that the time it takes for a dental cleaning is roughly normally distributed...

  1. A dentist notices that the time it takes for a dental cleaning is roughly normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes.

    1. If we pick one patient at random, what is the probability that his/her cleaning will take between 40 and 50 minutes?

    2. If we pick 10 patients at random, what is the probability that their mean cleaning time will be more than 48 minutes?

    3. The dentist wants to provide a discount to patients who receive a fast cleaning, but the discount will only apply to the patients whose cleanings are in the shortest 10%. What should be the cutoff time for the discount?

Math   Statistics-And-Probability   
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