[Solved] The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes. Find the


Question: The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes.

  1. Find the mathematical expression for the probability density function
  2. Compute the probability that a student will take between 45 and 50 minutes to complete the examination.
  3. Compute the probability that a student will take no more than 40 minutes to complete the examination.
  4. What is the expected amount of time it takes a student to complete the examination?
  5. What is the variance for the amount of time it takes a student to complete the examination?

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