Mathematics, 24.04.2020 17:49 lwattsstudent

Gary Oak is on a mission to complete his Pokedex before Ash Ketchum. To this end, he starts searching the tall grass for Pokemon. Assume that there are m Pokemon in total and that Gary has seen none of them at the start. Assume also, that all of the m Pokemon are equally likely to appear in the tall grass and each appearance is independent of the previous appearances. Let K be the number of encounters required for Gary to fill his Pokedex (A filled Pokedex means that he has seen all m Pokemon atleast once). Find the expectation and variance of K.

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Gary Oak is on a mission to complete his Pokedex before Ash Ketchum. To this end, he starts searchin...