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An article proposes the Weibull distribution with a = 1.807 and ß = 0.803 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) 0.3409 (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) 0.1604 x (c) What is the median of the wave-height distribution? (Round your answer to three decimal places.) 0.658 (d) For 0 < p < 1, give a general expression for the 100pth percentile of the wave-height distribution (p) using the given values of a and B. n(p) B(-In (1-p))1/a x

An article proposes the Weibull distribution with a = 1.807 and ß = 0.803 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) 0.3409 (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) 0.1604 x (c) What is the median of the wave-height distribution? (Round your answer to three decimal places.) 0.658 (d) For 0 < p < 1, give a general expression for the 100pth percentile of the wave-height distribution (p) using the given values of a and B. n(p) B(-In (1-p))1/a x

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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An article proposes the Weibull distribution with a = 1.807 and ß = 0.803 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) 0.3409 (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) 0.1604 X (c) What is the median of the wave-height distribution? (Round your answer to three decimal places.) 0.658 (d) For 0 < p < 1, give a general expression for the 100pth percentile of the wave-height distribution (p) using the given values of a and B. n(p) = B(-In (1-p))1/a X
Transcribed Image Text:An article proposes the Weibull distribution with a = 1.807 and ß = 0.803 as a model for 1-hour significant wave height (m) at a certain site. (a) What is the probability that wave height is at most 0.5 m? (Round your answer to four decimal places.) 0.3409 (b) What is the probability that wave height exceeds its mean value by more than one standard deviation? (Round your answer to four decimal places.) 0.1604 X (c) What is the median of the wave-height distribution? (Round your answer to three decimal places.) 0.658 (d) For 0 < p < 1, give a general expression for the 100pth percentile of the wave-height distribution (p) using the given values of a and B. n(p) = B(-In (1-p))1/a X
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