Q.4-134 148Chapter 4/Continuous Random Variables and Probability Distribu4-133. An article in the Journal of Geophysical Research["Spatial and Temporal Distributions of U.S. of Winds and WindPower at 80 m Derived from Measurements" (2003, vol. 108)]considered wind speed at stations throughout the United States.A Weibull distribution can be used to model the distribution ofwind speeds at a given location. Every location is characterizedby a particular shape and scale parameter. For a station at Ama-rillo, Texas, the mean wind speed at 80 m (the hub height of largewind turbines) in 2000 was 10.3 m/s with a standard deviation of4.9 m/s. Determine the shape and scale parameters of a Weibulldistribution with these properties.4-134. Suppose that X has a Weibull distribution with B=2and 8 = 8.6. Determine the following:(a) P(X<10)(d) value for x such that P(X > x) = 0.94-135. Suppose that the lifetime of a component (in hours) ismodeled with a Weibull distribution with B=2 and 8= 5000.Determine the following in parts (a) and (b):(a) P(X> 3000)(b) Р(X > 10)(c) P(8< X <11)%3D(b) P(X>6000|X > 3000)4-11 Lognormal Distribution4-138. Suppose that X has a lognormal distribution withparameters 0 = 5 and oʻ = 9. Determine the following:(a) P(X <13,300) (b) The value for x such that P(X < x) = 0.90(c) The mean and variance of X4-139. Suppose that X has a lognormal distribution withparameters 0 =-2 and w´ = 16. Determine the following:(a) P(500

Name: Q.4-134 148Chapter 4/Continuous Random Variables and Probability Distr
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Q.4-134 148Chapter 4/Continuous Random Variables and Probability Distribu4-133. An article in the Journal of Geophysical Research["Spatial and Temporal Distributions of U.S. of Winds and WindPower at 80 m Derived from Measurements" (2003, vol. 108)]c