[7 marks] A spaceship is trying to land on the plane R2. It chooses it's place of landing by first randomly generating a
Posted: Mon Nov 15, 2021 10:43 am
[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 answer. R