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Sum of two independent uniform random variables

  1. Dec 12, 2013 #1
  2. jcsd
  3. Dec 12, 2013 #2

    tiny-tim

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    Hi Pixel08! :smile:
    In ∫ f(z-y) dy, the integrand is 0 unless 0 < y < 1 and 0 < z - y < 1

    The second condition is the same as y < z and y > z - 1

    If z < 1, we can ignore the last condition (because z - 1 < 0), so that's 0 < y < 1 and y < z, ie 0 < y < z

    If z > 1, we can ignore y < z (because y < 1 anyway), so that's 0 < y < 1 and y > z - 1, ie z - 1 < y < 1 :wink:
     
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