Probability distribution and finding the median

[Painguy]

Homework Statement

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.)

Homework Equations

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

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?

 

[Dick]

Homework Statement

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.)

Homework Equations

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

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?

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