For each of the following distributions, describe its support Sx (i.e., is it discrete? is it infinite? is it countable or uncountable? what is the mathematical symbol for the support, if any?) and derive the value of k which makes fx a valid probability distribution. 1. fx (n) = k. n2 n = {1, 2, ...} fx (n) =k. 1 2. n2 " n = {. . ., -2, -1, 1, 2, ...} 3. fx (n) = k. n! n = {1, 2, ...} 4. fx(n) = k.p n! p > 0, n = {1, 2, ...} 5. fx (n) = k.p", 0