An urn initially contains one red and oneblue ball. at each stage a ball is randomly chosen and thenreplaced along with another of the same color. Let X denote theselection number of the first chosen ball that is blue. Forinstance, if the first selection is red and second is blue, then X=2

a) find P(X>i), i>=1
b) show that with probability 1, a blue ball is eventuallychosen
c) find E(X)