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Problem 2 A large parabolic antenna is designed against wind load. During a wind storm, the maximum wind-induced pressure (in lb/ft2) on the antenna Pis computed as P=CRV² where C is the drag coefficient, R is air mass density, V is maximum wind speed, and P is pressure. C, R and V are statistically independent lognormal variables with the following respective means and coefficient of variation respectively: C: 1.80 and 0.20 R: 0.0023 and 0.10 V: 120 and 0.45 a. What is the probability distribution of P and what are the distribu- tion's parameters? (3.186, 0.887) b. What is the probability that the maximum wind pressure will exceed 30 lb/ft2? (0.405)

Problem 2 A large parabolic antenna is designed against wind load. During a wind storm, the maximum wind-induced pressure (in lb/ft2) on the antenna Pis computed as P=CRV² where C is the drag coefficient, R is air mass density, V is maximum wind speed, and P is pressure. C, R and V are statistically independent lognormal variables with the following respective means and coefficient of variation respectively: C: 1.80 and 0.20 R: 0.0023 and 0.10 V: 120 and 0.45 a. What is the probability distribution of P and what are the distribu- tion's parameters? (3.186, 0.887) b. What is the probability that the maximum wind pressure will exceed 30 lb/ft2? (0.405)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 2 A large parabolic antenna is designed against wind load. During a wind storm, the maximum wind-induced pressure (in lb/ft2) on the antenna Pis computed as P=CRV² where C is the drag coefficient, R is air mass density, V is maximum wind speed, and P is pressure. C, R and V are statistically independent lognormal variables with the following respective means and coefficient of variation respectively: C: 1.80 and 0.20 R: 0.0023 and 0.10 V: 120 and 0.45 a. What is the probability distribution of P and what are the distribu- tion's parameters? (3.186, 0.887) b. What is the probability that the maximum wind pressure will exceed 30 lb/ft2? (0.405)
Transcribed Image Text:Problem 2 A large parabolic antenna is designed against wind load. During a wind storm, the maximum wind-induced pressure (in lb/ft2) on the antenna Pis computed as P=CRV² where C is the drag coefficient, R is air mass density, V is maximum wind speed, and P is pressure. C, R and V are statistically independent lognormal variables with the following respective means and coefficient of variation respectively: C: 1.80 and 0.20 R: 0.0023 and 0.10 V: 120 and 0.45 a. What is the probability distribution of P and what are the distribu- tion's parameters? (3.186, 0.887) b. What is the probability that the maximum wind pressure will exceed 30 lb/ft2? (0.405)
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