Answered: Suppose that fish inhabiting the river…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that fish inhabiting the river in the town of Glenmeadow have a 30% rate of parasite incidence. Carl is a fisherman who wants to verify the parasite infection rate of Glenmeadow’s fish. He catches 1000 fish at random and sequentially tests them for parasites.

Assuming that the true parasite incidence rate is 30%, which of the following statements is the most accurate?

a) If the first 20 fish Carl tests all have parasites, the probability that the 21^st fish he catches will have parasites is lower than 30%.

b) Carl will find parasites in exactly 300 fish.

c) As Carl tests an increasing number of fish, he is more likely to find parasites in every third fish.

d) The more fish Carl tests, the more likely he is to find a 30% parasite incidence rate.

e) Each fish Carl tests has a 30% chance of having parasites.

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