Wind engineers have found that wind speed v (in meters per second) at a given location
Chapter 5, Problem 99(choose chapter or problem)
Wind engineers have found that wind speed v (in meters per second) at a given location follows a Rayleigh distribution of the type W (v) = 1 32 vev2/64 This means that at a given moment in time, the probability that v lies between a and b is equal to the shaded area in Figure 4. (a) Show that the probability that v [0, b] is 1 eb2/64. (b) Calculate the probability that v [2, 5]. 20 0.05 0.1 a b y = W(v) v (m/s) y FIGURE 4 The shaded area is the probability that v lies between a and b.
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