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Page |8 Question 6 (2, 2, 2, 2 marks) Let the random variables X,, X,, X,, X, be independent normal random variables with #, =10,

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Page |8 Question 6 (2, 2, 2, 2 marks) Let the random variables X,, X,, X,, X, be independent normal random variables with #, =10, 0, =1; #, =12, 0, =2; #, =14, 6, =3 ; and #, =16, 0. =4 respectively. Let Y = X,,+X,,+X,+X. (a) Find the MGF of Y (b) Determine E(Y) (c) Var (Y) (d) Determine P(Y

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