Wind engineers have found that wind speed v (in m/s) at a given location follows a Rayleigh

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Wind engineers have found that wind speed v (in m/s) at a given location follows a Rayleigh distribution of the type

W(1) = le/64 1 32

This means that the probability that v lies between a and b is equal to the shaded area in Figure 8.
(a) Show that the probability that v ∈ [0, b] is 1 − e−b2/64.
(b) Calculate the probability that v ∈ [2, 5].

0.1+ 0.05- a .y = W(v) b 20 v (m/s)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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