Toss a coin for infinitely many times. The sample space can be denoted by Q : {or :(w1,w2....).w6 {H,T},-i:1._2.3....}. Let A'- be the event that the ith-tossing is a head. (a) [1 point] How do elements in A2 1'15 look like? Please describe them in the form of infinite vectors. (b) [1 point] What does the event mil/1.; mean in words (not in mathematics)? Enumerate all elements in this infinite intersection. (c) [1 point] What does the event Ul/'ii mean in words (not in mathematics)? Is the number of outcomes in this infinite union finite? (d) [1 point] Let u; : (T, T. T. T.. . .), i.e. wt- : T for each ii. : 1._ 2.3.. . .. Does this LU E LEE/1;? (e) [1 point] Let LU : (T,H.T. H, . . .) i.e. w; : T for each odd numberai and Lot- : H for each even number :1. Does this w E Uli? If so, please list all i's such that w E A