Question: please do fast!! i will rate you good for sure!! Exercise 4. Suppose that the weather (either wet or dry} tomorrow will be the same

please do fast!! i will rate you good for sure!!

Exercise 4. Suppose that the weather (either wet or dry} tomorrow will be the same as the weather today with probability p F. [0,1]. (:1) Show that the weather is dry today, then the probability that it will be dry the next upcoming n days denoted by Pm satises P\" = (2p 1)Pn_1+(1 p}, and PD =1. [b) By setting u\" := Pn % prove that u\" = (2p 1] un_1 and deduce on with respect to n and p. (c) Deduce Pn from question b. as a function of n and ,9 only

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