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Suppose that the amount of time that students spend studying in the library in one sitting...

Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 49 minutes and standard deviation 23 minutes. A researcher observed 46 students who entered the library to study. Round all answers to 4 decimal places where possible.

  1. Find the probability that the randomly selected 46 students will have a total study time less than 2070 minutes.
  2. For part e) and f), is the assumption of normal necessary? YesNo
  3. The top 15% of the total study time for groups of 46 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes
Math   Statistics-And-Probability   
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