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Probability distribution and finding the median

  1. Mar 24, 2013 #1
    1. The problem statement, all variables and given/known data
    Suppose that x measures the time (in hours) it takes for students to complete an exam. All students are done within 2 hours and the density function for x is given by

    f(x)={(x^3)/4 0<x<2
    {0 otherwise

    Compute the median of this distribution. (Give an exact answer.)


    2. Relevant equations

    int f(x)dx from m to inf =1/2

    3. The attempt at a solution

    I'm not sure what m is supposed to be, and because of that i'm completely lost. It looks like the integral doesn't even converge. How do I go about this problem?
     
  2. jcsd
  3. Mar 24, 2013 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Yes, it does converge. f(x)=0 for x>2 and x<0. You aren't really integrating to infinity. Now get started.
     
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