Consider a sequence of n+1 independent tosses of a biased coin, at times k=0,1,2,…,n . On each toss, the probability of Heads is p , and the probability of Tails is 1−p . A reward of one unit is given at time k , for k∈{1,2,…,n} , if the toss at time k resulted in Tails and the toss at time k−1 resulted in Heads. Otherwise, no reward is given at time k . Let R be the sum of the rewards collected at times 1,2,…,n . We will find E[R] and Var(R) by carrying out a sequence of steps. Express your answers below in terms of p and/or n using standard notation (available through the "STANDARD NOTATION" button below.) Remember to write "*" for all multiplications and to include parentheses where necessary. We first work towards finding E[R] . 1. Let Ik denote the reward (possibly 0) given at time k , for k∈{1,2,…,n} . Find E[Ik] . E[Ik]= unanswered