The daily discharge of a river can be modeled using log-normal distribution with a mean of 1300 m3/sec with a standard deviation of 500 m3/sec. a. What is the probability that the discharge s
The daily discharge of a river can be modeled using log-normal distribution with a mean of 1300 with a standard deviation of . a. What is the probability that the discharge shall exceed . b. What is the probability that the discharge shall exceed . c. What is the conditional probability that the discharge is less than given it is more than the mean . 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 Answer
This solution was written by a subject matter expert. It’s designed to help students like you learn core concepts.
1st step
All steps
Answer only
Step 1/3
Answers Hello friend, how are you hope you are doing well so here i am solving your problem but dear it is our policy to solve one question at a time and here is 4 subpart of this question but it is our policy to solve maximum 3 sub part so i am solving first 3 of this question hope you will understand. a)))) P(X > 2000) => the first step is to find the z- score. We find that using the formula below z = (x – μ (mean)) / σ (standard deviation) this means that For P(X > 2000), z = (2000 – 1300)/ 500 = 700/500 =1.4 so here from the help of z value table 0.9192
OR