X1 ∼ N(µ, σ2) ve X2 ∼ N(µ, 3σ²)Let them be independent random variables. X¯ = (X1 + X2)/2 be defined as. a) Calculate the variance of X¯. B) α ∈ [0, 1] i¸cin ˜µ = αX1 + (1 − α)X2 be defined as.µ is an unbiased estimate of µ is it? Prove your answer. C) Calculate the variance of µ.

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X1 ∼ N(µ, σ2) ve X2 ∼ N(µ, 3σ²)Let them be independent random variables.

X¯ = (X1 + X2)/2 be defined as.

a) Calculate the variance of X¯.

B) α ∈ [0, 1] i¸cin ˜µ = αX1 + (1 − α)X2 be defined as.µ is an unbiased estimate of µ is it? Prove your answer.

C) Calculate the variance of µ.

 

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