Hi, please answer each part of the problem using the given information. Please also show all steps/any work involved to better my understanding. Please don't repost the work of other posts. Please do not repost the work of other posts. Thanks! This is a STATS problem NOT Artificial Intelligence. Please stop putting it under AI.

Inequalities. Label each of the following statements with = . Label a statement with = if 1?_ equality always holds. Label a statement with 2 or 3 if strict inequality is possible. Justify all your answers. (a) P(A) versus 1/2 if P(A|B) = P(B|A) and P(AU B) = l. (b) P{X S 5|X > 2} versus P{X S 3} if X N Exp(x\\), A > 0. (c) E[Var(X|Y)] versus Var(X). (Hint: Review MSE estimation.) (d) (1 pig) 0'} versus E[Var(X |Y)]. (e) P{XY