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In: Statistics and Probability

Random variable X is drawn from a normal distribution with mean 13.59 and standard deviation 2.39....

Random variable X is drawn from a normal distribution with mean 13.59 and standard deviation 2.39.

  1. Calculate the probability of X being less than 11.31.
  2. What is the probability of X exceeding 12.52?
  3. What is the probability of X lying between 13.75 and 15.09?
  4. Verify your answers to parts 1 and 2 above using numerical sampling.
  5. (Harder) verify your answers to part 3 above using numerical sampling.

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