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(Solved): Let Xi be independent random variables (flipping an unfair coin) such thatXi =1ifheadappearsandXi = ...



Let Xi be independent random variables (flipping an unfair coin) such thatXi =1ifheadappearsandXi =0iftailappears,andP(Xi =1)= 1,P(Xi = 0) = 2. Let X be the number of times that the coin, flipped 33 60 times, lands heads. (i) Calculate the probability P(X = 25) by using the Binomial dis- tribution. [3 Marks] (ii) Use a normal approximation to find the probability P (X = 25).



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