Problem (9) (8 points) Let X, X2,, X64 be i.i.d. random variables from Normal( = -3,...

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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. 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.