Find the Indicated Probability

question 102

Multiple Choice

Find the indicated probability. Round to three decimal places.
-A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will be working.

• A) 0.927
• B) 0.133
• C) 0.795
• D) 0.206

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Definitions:

Military Commander

A high-ranking officer in the armed forces with authority and responsibility over military operations and personnel, often making strategic and tactical decisions.

Transcontinental Railroad

A network of railroad trackage that crosses a continental land mass, connecting the Pacific and Atlantic coasts of the United States, completed in 1869.

Union Pacific

A major railroad company in the United States, primarily operating in the western two-thirds of the country.

Central Pacific

Often refers to the central area of the Pacific Ocean, but can also denote the Central Pacific Railroad, a key portion of the First Transcontinental Railroad in the United States.