Exercise 2.14 An aircraft launched a missile towards a ground target. Let X and Y be south-north and east-west random de

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Exercise 2 14 An Aircraft Launched A Missile Towards A Ground Target Let X And Y Be South North And East West Random De 1 (19.73 KiB) Viewed 121 times

Exercise 2.14 An aircraft launched a missile towards a ground target. Let X and Y be south-north and east-west random deviations of the missile from the target, respec- tively. It may be assumed that X and Y are i.i.d N (0,0%). Define R=VX2 +Y2 to be the distance between the target and the actual location of the missile's explosion. 1. Show that the distribution of R has the density fo(r)= r20 (Rayleigh distribution). Does it belong to the exponential family? (Hint: first find the distribution of R2 = x2 +Y2) =