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:

Behavioral Approach

A perspective in psychology and management focusing on understanding human behavior through observation and empirical data, often emphasizing the environment's role on behavior.

Multivariate Analysis

A set of statistical techniques used for analysis of data that involves multiple variables to understand relationships and patterns.

Contingency Approach

A management theory that suggests the most appropriate management style or approach depends on the specific aspects of the situation at hand.

Chaos Theory

A branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions, often leading to unpredictable and complex outcomes.