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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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organisms/m³ (the article "Counting at Low Concentrations: The Statistical Challenges of Verifying Ballast Water Discharge Standards"+ considers using the Poisson process for this purpose). (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 at 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.
Transcribed Image Text:Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organisms/m³ (the article "Counting at Low Concentrations: The Statistical Challenges of Verifying Ballast Water Discharge Standards"+ considers using the Poisson process for this purpose). (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 at 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.
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