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For This Question You May Assume That Linear Combinations of Normal

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For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants.
(a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)?
(b)If X1,... ,Xn are distributed i.i.d.as N(a, For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? ),what is the distribution of For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? ?
(c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic?
(d)Comment on the relationship between your diagram and the concept of consistency.
(e)Let For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? = For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? .What is the distribution of For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? ( For this question you may assume that linear combinations of normal variates are themselves normally distributed.Let a,b,and c be non-zero constants. (a)X and Y are independently distributed as N(a,σ2).What is the distribution of (bX+cY)? (b)If X1,... ,Xn are distributed i.i.d.as N(a, ),what is the distribution of ? (c)Draw this distribution for different values of n.What is the asymptotic distribution of this statistic? (d)Comment on the relationship between your diagram and the concept of consistency. (e)Let = .What is the distribution of ( - a)? Does your answer depend on n? - a)? Does your answer depend on n?

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(a)E(bX + cY)= bE(X)+ cE(Y)= a(b + c);va...

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