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Q62Section ST (Statistics (Q11–Q65))62 of 65

Method of moments for pothole rate

Let {N(t)}t≥0\{N(t)\}_{t\ge0} be a Poisson process with rate λ\lambda, where λ>0\lambda > 0 is an unknown parameter. Starting from the origin, an intercity road has N(t)N(t) number of potholes up to a distance of tt kilometers. Starting from the origin, potholes are found at the following distances (in kilometers) 0.9,1.3, 1.8,2.7,3.4,4.1,4.7,5.5,6.2,6.8,7.4,8.1,8.9,9.2,9.7. Based on the above data, the method of moment estimate of λ\lambda equals ________ (rounded off to two decimal places).

Numerical answer: type the number (no options).

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