Organisms are present in ballast water discharged from a ship according to a Poissonprocess with a concentration of 10 organisms/m3[the article “Counting at LowConcentrations: The Statistical Challenges of Verifying Ballast Water DischargeStandards” (Ecological Applications, 2013: 339-351) considers using the Poissonprocess for this purpose].a. What is the probability that one cubic meter of discharge contains at least 8organisms?b. What is the probability that the number of organisms in 1.5 m3 of dischargeexceeds its mean value by more than one standard deviation?c. For what amount of discharge would the probability of containing at least 1organism be .999
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.
Binomial Distribution
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.
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” (Ecological Applications, 2013: 339-351) considers using the Poisson
process for this purpose].
a. What is the
organisms?
b. What is the probability that the number of organisms in 1.5 m3 of discharge
exceeds its
c. For what amount of discharge would the probability of containing at least 1
organism be .999
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