Problem (9) (8 points) Let X, X2,, X64 be i.i.d. random variables from Normal( = -3, o = 25). (a) (1 points) Compute E[-2X - 3X3]. (b) (1 point) Compute E[X]. (c) (1 point) Compute Var[-3X2 - 2X3]. (d) (1 point) Compute Var[X]. (e) (1 point) Compute (f) (1 point) Compute (g) (1 point) Compute (h) (1 point) Compute E - fl E 0/8 X Var [87] 0/8 X [(*)] X - Var (87) 0/8 1. Describe the following questions. a) Explain the interaction between lexical analyzer and parser b) Write a context free grammar for below given instruction/rules. Online Shopping User Data User Name: CNIC: Quantity: Email: For Example: User Name: Aqsa ilyas (two word name) CNIC: xxxxx-xxxxXxxx-x (x is digit value) Quantity: 1.5 kg (Values in points) Email: asd@gmail.com (according to the given syntax) c) Consider the Part (a) grammar and show that first and follow set for each nonterminal symbol.