Let X1, X2, X3, and X4 be a random sample of observations from a population with mean μ and variance σ2 . Consider the following estimator of μ: � "!= 0.15 X1 + 0.35 X2 + 0.20 X3 + 0.30 X4. What is the variance of � "!
Let X1, X2, X3, and X4 be a random sample of observations from a population with mean μ and variance σ2 . Consider the following estimator of μ: � "!= 0.15 X1 + 0.35 X2 + 0.20 X3 + 0.30 X4. What is the variance of � "!
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Question
Let X1, X2, X3, and X4 be a random sample of observations from a population with
mean μ and variance σ2
. Consider the following estimator of μ: �
"!= 0.15 X1 + 0.35 X2 + 0.20 X3 +
0.30 X4.
What is the variance of �
"!
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