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 22 minutes. A researcher observed 44 students who entered the library to study. Round all answers to 4 decimal places where possible. Find the probability that the randomly selected 44 students will have a total study time more than 1936 minutes.  The top 20% of the total study time for groups of 44 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 What is the distribution of ∑x∑x? ∑x∑x ~ N(

MATLAB: An Introduction with Applications
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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 22 minutes. A researcher observed 44 students who entered the library to study. Round all answers to 4 decimal places where possible.

  1. Find the probability that the randomly selected 44 students will have a total study time more than 1936 minutes. 
  2. The top 20% of the total study time for groups of 44 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
  3. What is the distribution of ∑x∑x? ∑x∑x ~ N(
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