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An Insurance Company Estimates That It Should Make an Annual

question 5

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An insurance company estimates that it should make an annual profit of $150 on each homeowner's policy written,with a standard deviation of $6700.If it writes 12,469 of these policies,what is the probability that the company will be profitable? Assume that policies are independent of each other and that the company's total profit follows a Normal model.


Definitions:

Bureaucratic Organizational Structure

An organizational model characterized by a hierarchy of authority, formalized rules and procedures, and impersonal relationships.

Flexible Organization Structure

Describes an organizational framework that can easily adapt to changes, allowing for modifications in structures and processes.

Horizontal Differentiation

The division of roles and responsibilities within an organization that focuses on the specialization and expertise of its members, rather than their rank or status.

Vertical Differentiation

The way an organization structures its hierarchy of authority, creating levels of management and rank within the company.

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