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Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition | ISBN: 9780073386102 | Authors: Allan G Bluman Professor Emeritus
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Fatal Accidents The American Automobile Association (AAA)

Chapter 4, Problem 38

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QUESTION:

Fatal Accidents The American Automobile Association (AAA) reports that of the fatal car and truck accidents, 54% are caused by car driver error. If 3 accidents are chosen at random, find the probability that a. All are caused by car driver error 0.157 b. None is caused by car driver error 0.097 c. At least 1 is caused by car driver error 0.903 Source: AAA quoted on CNN.

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QUESTION:

Fatal Accidents The American Automobile Association (AAA) reports that of the fatal car and truck accidents, 54% are caused by car driver error. If 3 accidents are chosen at random, find the probability that a. All are caused by car driver error 0.157 b. None is caused by car driver error 0.097 c. At least 1 is caused by car driver error 0.903 Source: AAA quoted on CNN.

ANSWER:

Step 1 of 4

Three accidents are chosen at random, let:

 - the -th chosen accident was due to human error

Events  are independent for different .

Also the probability of each  is the same given value:

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