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Twenty students take an exam. Each student spends an exponential amount of time on problem 5, with an average of 8 minutes per student. What

Twenty students take an exam. Each student spends an exponential amount of time on problem 5, with an average of 8 minutes per student.

  1. What is the density of the sum of time that the 20 students spend on problem 5 altogether?
  2. Use R or some other technology to find P(X 150)
  3. What is the expected time E(X)?

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