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In: Statistics and Probability

Organisms are present in ballast water discharged from a ship according to a Poisson process with...

Organisms are present in ballast water discharged from a ship according to a Poisson process with a = 10m^3.

Consider an area of 1 m^3. Determine μ for the rate of organisms in a 1 m^3 area of discharge.

Determine the probability that a 1 m^3 of discharge contains at least 6 organisms. Hint: it may be easier to work with the complement.

Consider an area of 1.5 m^3. Determine μ for the rate of organisms in a 1.5 m^3 area of discharge.

Determine the probability that a 1.5 m^3 of discharge contains at least 6 organisms. Hint: it may be easier to work with the complement.

For what amount of discharge would the probability of containing 0 organisms be 0.001. Hint: write P(X = 0) as a function of =t, then solve for t.

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orchestra answered 1 year ago
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