1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted