How do we find the angular, radial nodes and the quantum numbers when the radial probability distribution curve's equation is given?
For a given orbital, there are two types of modes: radial nodes and angular nodes.


The total number of nodes is $n-1$
Number of angular nodes is $l$
Number of radial nodes is $n-l-1$


In this question: If the given function represents the radial part of the wave function of an atomic orbital, then we get the number of radial nodes: $n-l-1=2$. i.e.  $n-l=3$:

We have several possibilities: 


$n=3$, $l=0$: then we have the orbital $\ce{3s}$
$n=4$, $l=1$: then we have the orbital $\ce{4p}$
$n=5$, $l=2$: then we have the orbital $\ce{5d}$


and so on.