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Mixed distributions

  1. Mar 24, 2013 #1
    1. The problem statement, all variables and given/known data
    demand for raincoats
    demand X is uniform [0,a) on a sunny day and ~U[0,b) on a rainy day. its is stated that b>a. the probability it is a sunny day is 'p' and that it is a rainy day is '1-p' (p and 1-p are constants)
    compute the pdf?
    2. Relevant equations
    f(x) = f(x/B)h(B)+f(x/G)h(G)


    3. The attempt at a solution


    so i get a overall demand pdf f(x) = (p/a)+((1-p)/b) 0<x<a

    ((1-p)/b) a<x<b

    Is this correct? does the demand distribution on a rainy day change when we restrict it between 0 to a
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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