In the ballast water that is discharged from a ship there is a concentration of 10 organisms per cubic meter. a) Find the probability of at least 8 microorganisms in a discharge of one cubic meter. b) Calculate the probability that in a discharge of 1.5 cubic meters of water the number of microorganisms exceeds one standard deviation from the mean. c) For what quantity of discharge is the probability that there is less than one microorganism equal to 0.999?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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In the ballast water that is discharged from a ship there is a concentration of 10 organisms per cubic meter.
a) Find the probability of at least 8 microorganisms in a discharge of one cubic meter.
b) Calculate the probability that in a discharge of 1.5 cubic meters of water the number of microorganisms exceeds one standard deviation from the mean.
c) For what quantity of discharge is the probability that there is less than one microorganism equal to 0.999?

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