Еxample 4The daily discharge of a river can be modeled using log-normal distribution with a mean of 1300m/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 ismore than the mean 1300 m/sec.d. If a bank is to be made across the river to avoid flooding with the design daily dischargethat shall be exceeded once in 10 years. Calculate the design daily discharge

Name: Еxample 4The daily discharge of a river can be modeled using log-norm
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Description: Еxample 4The daily discharge of a river can be modeled using log-normal distribution with a mean of 1300m/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 th

a) P(X > 2000) => the first step is to find the z- score. We find that using the formula below…

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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

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

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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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

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