Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 20 minutes. A researcher observed 13 students who entered the library to study. Round all answers to 4 decimal places where possible. Find the probability that the randomly selected 13 students will have a total study time less than 650 minutes.  The top 10% of the total study time for groups of 13 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

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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 46 minutes and standard deviation 20 minutes. A researcher observed 13 students who entered the library to study. Round all answers to 4 decimal places where possible.

  1. Find the probability that the randomly selected 13 students will have a total study time less than 650 minutes. 
  2. The top 10% of the total study time for groups of 13 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
Expert Solution
Step 1

Given,

Students spend studying in the library in one sitting is normally distributed.

Mean=μ=46 minutes

Standard deviation=σ=20 minutes

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