I have a random variable that gives me the number of hydrogen molecules in a spherical region. The random variable has a poisson pmf.
Now I have to define a new Random variable as the distance from the origin to the nearest molecule and find its pdf.
I am unable to think how to do this. I am unable to think of a way to relate the two random variables i.e. distance and number of molecules in the sphere?
Kindly guide me how to approach this problem. Thanks in advace.