Example 4 The daily discharge of a river can be modeled using log-normal distribution with a mean of 1300 m/sec with a standard deviation of 500 m³/sec. What is the probability that the discharge shall exceed 2000 m³/sec. a. b. What is the probability that the discharge shall exceed 1300 m/sec. What is the conditional probability that the discharge is less than 2000 m/sec given it is C. more than the mean 1300 m³/sec. d. If a bank is to be made across the river to avoid flooding with the design daily discharge that shall be exceeded once in 10 years. Calculate the design daily discharge

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
Еxample 4
The daily discharge of a river can be modeled using log-normal distribution with a mean of 1300
m/sec with a standard deviation of 500 m/sec.
a. What is the probability that the discharge shall exceed 2000 m³/sec.
b. What is the probability that the discharge shall exceed 1300 m³/sec.
c. What is the conditional probability that the discharge is less than 2000 m/sec given it is
more than the mean 1300 m/sec.
d. If a bank is to be made across the river to avoid flooding with the design daily discharge
that shall be exceeded once in 10 years. Calculate the design daily discharge
Transcribed Image Text:Еxample 4 The daily discharge of a river can be modeled using log-normal distribution with a mean of 1300 m/sec with a standard deviation of 500 m/sec. a. What is the probability that the discharge shall exceed 2000 m³/sec. b. What is the probability that the discharge shall exceed 1300 m³/sec. c. What is the conditional probability that the discharge is less than 2000 m/sec given it is more than the mean 1300 m/sec. d. If a bank is to be made across the river to avoid flooding with the design daily discharge that shall be exceeded once in 10 years. Calculate the design daily discharge
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman