A set of n thin wire proportional chambers uniformly spaced at positions along the x axis has made a

A set of n thin wire proportional chambers uniformly
spaced at positions along the x axis has made a series of measurements of track
position, i.e., x, y values for a straight track. We wish to estimate tan
θ in the two-dimensional projection. The spacing between individual
chambers is . Find an estimate for tan θ and its variance
as a function of n. Assume the measurement error is normal and the same at each
chamber. It is to be estimated from the data. We are particularly interested in
how the variance changes with  and with n. We ignore multiple scattering
errors, errors in x, and systematic errors, i.e., distortions. How would the
results change if we knew the measurement error of the chambers in advance?
Hint:

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