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Free_Kalibri [48]
3 years ago
15

Organisms are present in ballast water discharged from a ship according to a Poisson process with a concentration of 10 organism

s/m3 a. What is the probability that one cubic meter of dis- charge contains at least 8 organisms? b. What is the probability that the number of organisms in 1.5 m3 of discharge exceeds its mean value by more than one standard deviation? c. For what amount of discharge would the probability of containing at least 1 organism be .999?

Mathematics
1 answer:
mash [69]3 years ago
7 0
Only letter a has an answer. Pls. see attachment.<em>
</em>
The probability that one cubic meter of discharge contains at least 8 organisms is 0.7798

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Step-by-step explanation:

You use the distributive property to allocate a number outside of the parentheses to inside the parentheses.

For this example, they distributed a to both b and c making it a*b + a*c

This will result in the same answer:

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3/5(-1.23..) = -6/5 + 30/65 (..= approx)

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Substituting : 
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