0.2 Question 2 [7 marks] A spaceship is trying to land on the plane R2. It chooses it's place of landing by first randomly generating a radius R according a continuous distribution and density function fR. Once R is decided, the spaceship will choose the landing point (X, Y ) uniformly at random inside the disc centred at (0, 0) with radius R. Find a density function fr so that (X, Y ) has the standard Gaussian distribution on R2. Justify your