Please answer all the following items. Show your complete solution / explanation. Thank you!

Show that each of the following is a pmf. if x e (1,3) 1. f(@) = 10 0, otherwise f (x) = if x e (1,2, 3, 4,5, 6) 2 91 0, otherwise if x E {-2, 2,3,4,5} /(x) 24 0, otherwise