A Machine Has Four Components, A, B, C, and D

question 169

Multiple Choice

A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for themachine to work properly. Assume the probability of one part working does not depend on the functionality ofany of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.99,P(C) = 0.91, and P(D) = 0.93. Find the probability that the machine works properly. Round to the nearestten-thousandth.

• A) 0.8295
• B) 0.8378
• C) 0.8919
• D) 0.1705

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Definitions:

Motivational Characteristics

Traits or features of a task, environment, or individual that influence the direction, intensity, and persistence of behavior or action.

Social Characteristics

Attributes that define and differentiate individuals and groups within a society.

Work Context Characteristics

The environmental and situational factors within a workplace that can influence job performance and employee satisfaction.

Core Job Characteristics

Fundamental attributes of a job that can influence employees' motivational levels, including skill variety, task identity, task significance, autonomy, and feedback.