A21 Show that the two definitions of expectation of a discrete random variable R. ElRl=erlr2I and EIRI=ZR(w)P{{w}). r= wE are equivalent. (You may assume that the induced sample space is a subset of the nonnegatiye integers.) A22 Andy. Beth and Charlie are participating at team archery competition. Each hits the target with probability 0.6 (Andy). [1.7 (Beth) and 0.8 (Charlie). For this round. a single team member is selected at random to shoot at the target. with all three being equally likely to be chosen. Compute the probability (as a decimal number with 3 d.p.) that. if the target is hit. it was Charlie who was chosen for this round