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Uniformly Distribution Problem

  1. Dec 7, 2013 #1
    A random variable X drawn from a uniform [0,3] distribution and a random variable y is independently drawn randomly drawn from a uniform [0,4] distribution. The joint probability density f(x,y) is also uniform, with support given by 0 ≤ x ≤ 3, 0 ≤ y ≤ 4. Find the probability for the sum of two randomly selected number is 3
    This should be 0 because a line does not have any area, right?
    Find the probability for the sum of two randomly selected number greater than 3
    12-4.5 = 7.5/12 = .625, right?
     
    Last edited: Dec 7, 2013
  2. jcsd
  3. Dec 7, 2013 #2

    Ray Vickson

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    Show your work.
     
  4. Dec 7, 2013 #3
    3*4 - p(y<=3) = 12 - 3*3/2 = 12-4.5= 7.5/12 = .625
     
    Last edited: Dec 7, 2013
  5. Dec 7, 2013 #4
    Please check it thx
     
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