Question: A truncation error X is uniformly distributed over the interval (0, 10^-20). Write down the PDF of X. What are its mean and variance! Find

A truncation error X is uniformly distributed over the interval (0, 10^-20).

  1. Write down the PDF of X.
  2. What are its mean and variance!
  3. Find P<0.2 10^-20 < X < 0.6 10^-20%.
  4. For a summation of 10^7 independent terms subject to truncation, what are the mean, variance, and PDF of its total truncation error Y?

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