Let Z1, Z2, ... , Zn be a sequence of random variables. For every n = 1,2, ..., P(Z, = n2) = n and P(Zn = 0) = 1 -. In other words, Zn is binary. Show that: a) lim E(Zn) = 00. n-co b) Zn - 0. c) Z2 + 2020 -> 2020. d) Does it make sense to apply WLLN and CLT on the mean Zn