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Question: Suppose that the magnitude of a signal received from a satellite is

S= α + bV +W

Where V is a voltage which the satellite is measuring, α and b are constants, and W is a noise term suppose V and W are independent and normally distributed with means 0 and variances σv2 and σw2.

a) Find Corr(X, V).

b) Given that S = si what is the distribution of V?

c) What is the best estimate of V given S = s?

d) If this estimate is used repeatedly for different values of S coming from a sequence of independent values of V and W with the given normal distributions, what is the long-run average absolute value of the error of estimation?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92640103

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