3.7 AVL systems. Suppose that the individual x and y errors of an AVL system are independently distributed according to a Laplace pdf,

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Suppose that the radius of error is measured directly in terms of right-angle distance,

R = |Xe| + |Ye|

Show that

fR(r) = r2e-r  where r 0

and thus

E[R] = 2/

[You might try obtaining (*) using both the "never-fail" method and the "infinitesimal method" outlined in Example 3.]