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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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 58CR
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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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