Page 77 - FINAL CFA SLIDES DECEMBER 2018 DAY 3
P. 77

Session Unit 3:
                                                                   10. Common Probability Distributions


   LOS 10.h: Define the continuous uniform distribution and calculate and interpret probabilities, given a continuous
   uniform distribution, p.222



      Recall for a continuous uniform distribution, if a < x < b, P(X = x) = 0.  Formally stated


     • For all a ≤ x1 < x2 ≤ b (i.e., for all x1 and x2 between the boundaries a and b).


     • P(X < a or X > b) = 0 (i.e., the probability of X outside the boundaries is zero).


     • P(x1 ≤ X ≤ x2) = (x2 – x1)/(b – a). This is probability of outcomes between x1 and x2.



     For a continuous uniform distribution, the p of outcomes in a range that is ½ of the whole

     range is 50% and in ¼ of the of the whole possible range is 25%.


     Example: Continuous uniform distribution: X is uniformly distributed between 2 and 12.

     Calculate the probability that X will be between 4 and 8.
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