99. 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) = -²/64 ve 32 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 e [0, b] is 1 – e-b²/64 (b) Calculate the probability that v e [2, 5]. 00.1- y= W(1) 0.05- v (m/s) 20 FIGURE 4 The shaded area is the probability that v lies between a and b.

99. 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) = -²/64 ve 32 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 e [0, b] is 1 – e-b²/64 (b) Calculate the probability that v e [2, 5]. 00.1- y= W(1) 0.05- v (m/s) 20 FIGURE 4 The shaded area is the probability that v lies between a and b.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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