Follow the method shown in this thread: http://www.mathhelpforum.com/math-he...functions.html
If you still have trouble after reading this, please show your working and where you get stuck.
According to the Maxwell-Boltzmann law of theoretical physics, the probability density of V, the velocity of a gas molecule, is
f(v)=kv^2*e^(- βv^2), for v>0; =0, elsewhere.
Where β depends on its mass and the absolute temperature and k is an appropriate constant. Show that the kinetic energy E=(1/2)mV^2, where m the mass of the molecule is a random variable having a gamma distribution.
Follow the method shown in this thread: http://www.mathhelpforum.com/math-he...functions.html
If you still have trouble after reading this, please show your working and where you get stuck.
The problem is i don't understand what is the question ask for..
can you explain to me? and step by step???
In this problem, i'm confuse about the sentence<where m the mass of the molecule is a random variable having a gamma distribution.>what is the relationship between this sentence and the problem?