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The time to complete this question is Pareto distributed with mean 5 minutes and shape = 3. a)If a student starts this question with 10

The time to complete this question is Pareto distributed with mean 5 minutes and shape = 3.

  1. a)If a student starts this question with 10 minutes of exam time left, what is the probability they will have enough time to finish it?
  2. b)If 15 students start this question with 10 minutes of exam time left, what is the probability that more than 11 but less than 14 of them finish it?
  3. c)Suppose a student does not finish, given this what is the chance they would have finished if they had an additional 5 minutes?

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