**Ballast Water Discharge Analysis Using Poisson Process**Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organisms/m³. This problem is derived from the article "Counting at Low Concentrations: The Statistical Challenges of Verifying Ballast Water Discharge Standards", which considers using the Poisson process for such purposes.**Questions and Analysis:**(a) **Probability of At Least 7 Organisms:** - Question: What is the probability that one cubic meter of discharge contains at least 7 organisms? - Answer: 0.870(b) **Probability Exceeding Mean Value by More Than Two Standard Deviations:** - Question: What is the probability that the number of organisms in 1.5 m³ of discharge exceeds its mean value by more than two standard deviations? - Answer: 0.181(c) **Discharge Where Probability is 0.997 for At Least 1 Organism:** - Question: For what amount of discharge would the probability of containing at least 1 organism be 0.997? - Answer: 0.50 m³**Notes:**- To compute these probabilities, you may need to consult the Appendix of Tables.- Use statistical tools and tables to verify your results effectively.

considers using the Pois (a) What is the probability that one cubic meter of discharge contains at least 7 organisms? (Round your answer to three decimal places.) 0.87 ✓ (b) What is the probability that the number of organisms in 1.5 m³ of discharge exceeds its mean value by more than two standard deviations? (Round your answer to three decimal places.) 0.181 X (c) For what amount of discharge would the probability of containing least 1 organism be 0.997? (Round your answer to two decimal places.) 0.50 x m³ You may need to use the appropriate table in the Appendix of Tables to answer this question.

considers using the Pois (a) What is the probability that one cubic meter of discharge contains at least 7 organisms? (Round your answer to three decimal places.) 0.87 ✓ (b) What is the probability that the number of organisms in 1.5 m³ of discharge exceeds its mean value by more than two standard deviations? (Round your answer to three decimal places.) 0.181 X (c) For what amount of discharge would the probability of containing least 1 organism be 0.997? (Round your answer to two decimal places.) 0.50 x m³ You may need to use the appropriate table in the Appendix of Tables to answer this question.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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