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The Probability That a Particular Brand of Smoke Alarm Will

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The probability that a particular brand of smoke alarm will function properly and sound an alarm in the presence of smoke is 0.8.You have 5 such alarms in your home and they operate independently.Which of the following distributions would you use to determine the probability that all of them will function properly in case of a fire?


Definitions:

Hierarchical Differentiation

The extent to which an organization or system is divided into levels of authority or ranks, creating a hierarchy.

Vertical Specialization

Pertains to the degree of stratification or hierarchy within an organization's structure, where tasks and responsibilities are distinctly defined at different levels.

Total Quality Management Controls

Strategies and tools used in Total Quality Management (TQM) to ensure that products or services meet specific quality standards and customer satisfaction.

Formalization

The degree to which an organization uses rules, procedures, and written documentation to standardize behaviors and decisions.

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