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Which distribution is constructed by summing z scores

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You take measurements for a location in 3D space. Your measurement errors in each dimension, eX, eY and eZare all Gaussian with zero mean and variance ?2. The total squared error is E = eX2 + eY2 + eZ2.  Describe the distribution of E. Hence, or otherwise, find the mean and variance of E? What is a 90% confidence interval for E as a factor of ?2.

HINT: which distribution is constructed by summing Z scores?

Reference no: EM131998941

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