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Lecture 22

# Lecture 22 - Water Resources Engineering W t R E i i...

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Water Resources Engineering - ecture 22 2 Lecture 22 Prepared by T. Wagener & P. Reed Penn State University

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ontent Content ata Analysis 1. Data Analysis 2. Probability Concepts 3. Commonly Used Probability Distributions 4. Hydrologic Design for Water Excess Management 5. Hydrologic Frequency Analysis 3
Probability Concepts 4

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robability Density Probability Density PDF PMF CDF DF DF CDF 6

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robability Density (cont.) Probability Density (cont.) e often write P(x) as f(x). Thus, We often write P(x) as f(x). Thus, PDF CDF 7
andom Variable/Probability Random Variable/Probability PDF = f X (x) CDF = F X (x) 8

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ow to Express a Distribution How to Express a Distribution 9
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Here we use an extreme-value model together with interpolated best-track URDAT) records to show that a hurricane of Katrina’s intensity or stronger can 11 (HURDAT) records to show that a hurricane of Katrina s intensity or stronger can be expected to occur, on average, once every 21 years somewhere along the Gulf coast from Texas through Alabama and once every 14 years somewhere along the entire coast from Texas through Maine.
Examples of Prob. Distributions E amp s of ro . D str ut ons 12

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What would the cumulative density function look like for a uniform distribution?
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Lecture 22 - Water Resources Engineering W t R E i i...

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