Freshwater fish (from fish farms) has been touted as a good replacement for sea fish as pollutants from factories and sewage plants have deposited chemicals that have severely contaminated sea fish. Now fish from some seas are not safe to eat. Nevertheless, it is discovered that farm fish are not so healthy after all and have high mortality rates. Therefore, the farmers use antibiotics to keep them alive. These antibiotics can have dangerous consequences on unsuspecting humans. Suppose that if farm fish is randomly and regularly tested and it is found that 25% is okay for consumption, 35% have dangerous traces of antibiotics and 40% have deadly untreated diseases. What is the probability of a random sample of 10 such fish was found to have 3 okay, 3 with antibiotics and 4 with the deadly untreated disease?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Freshwater fish (from fish farms) has been touted as a good replacement for sea fish as pollutants from factories and sewage plants have deposited chemicals that have severely contaminated sea fish. Now fish from some seas are not safe to eat. Nevertheless, it is discovered that farm fish are not so healthy after all and have high mortality rates. Therefore, the farmers use antibiotics to keep them alive. These antibiotics can have dangerous consequences on unsuspecting humans. Suppose that if farm fish is randomly and regularly tested and it is found that 25% is okay for consumption, 35% have dangerous traces of antibiotics and 40% have deadly untreated diseases. What is the probability of a random sample of 10 such fish was found to have 3 okay, 3 with antibiotics and 4 with the deadly untreated disease?

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