[7 marks] A spaceship is trying to land on the plane R2. It chooses it's place of landing by first randomly generating a

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7 Marks A Spaceship Is Trying To Land On The Plane R2 It Chooses It S Place Of Landing By First Randomly Generating A 1 (163.25 KiB) Viewed 100 times

[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