The article Error Distribution in Navigation (J. of
Chapter 4, Problem 112(choose chapter or problem)
The article Error Distribution in Navigation (J. of theInstitute of Navigation, 1971: 429442) suggests that thefrequency distribution of positive errors (magnitudes oferrors) is well approximated by an exponential distribution.Let X 5 the lateral position error (nautical miles), whichcan be either negative or positive. Suppose the pdf of X isf(x) 5 (.1)e2.2|x| 2` , x , `a. Sketch a graph of f(x) and verify that f(x) is a legitimatepdf (show that it integrates to 1).b. Obtain the cdf of X and sketch it.c. Compute P(X # 0), P(X # 2), P(21 # X # 2), andthe probability that an error of more than 2 miles ismade.
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