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General Grant Must Send Orders to General Butler

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General Grant must send orders to General Butler. Carrier pigeons are the medium of choice. A single pigeon has a .7 probability of arriving at the proper destination in a timely fashion. How many pigeons, each carrying an identical set of orders, must Grant send in order for him to have 98% confidence that the orders reached General Butler?


Definitions:

Romanticism

An artistic, literary, and intellectual movement that originated in the late 18th century, emphasizing emotion, individualism, and the glorification of nature and the past.

Artistic Movement

A trend or style in art with a specific common philosophy or goal, followed by a group of artists during a restricted period of time.

Enlightenment

An intellectual and philosophical movement that dominated the world of ideas in Europe during the 17th and 18th centuries, emphasizing reason, individualism, and skepticism towards traditional doctrines.

Official Nationality

A doctrine or policy, especially in historical contexts, where the state defines and promotes a singular national identity, often for purposes of unity or control.

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