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

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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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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