In my pond there are on average 2 fish per cubic yard of water. If we assume the fish do not school and are moving around independently of each other, then in any three dimensional region of the pond the number of fish is independent of the number in any other such region, and the expected number is proportional to the volume of the region. For a very tiny region, it is virtually impossible to find more than one fish. If we have an underwater scanner capable of locating fish, what is the probability (to two decimal place accuracy) we will have to scan over 7 cubic yards to find 12

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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In my pond there are on average 2 fish per cubic yard of water. If we assume the fish do not school and are moving around independently of each other, then in any three dimensional region of the pond the number of fish is independent of the number in any other such region, and the expected number is proportional to the volume of the region. For a very tiny region, it is virtually impossible to find more than one fish. If we have an underwater scanner capable of locating fish, what is the probability (to two decimal place accuracy) we will have to scan over 7 cubic yards to find 12 fish?

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