A Sample of Size 400 Is Drawn from a Population $\bar { X }$

question 40

Essay

A sample of size 400 is drawn from a population whose mean and variance are 5000 and 10 000, respectively. Find the following probabilities.
a. P( $\bar { X }$ < 4,990).
b. P(4995 < $\bar { X }$ < 5010).
c. P( $\bar { X }$ = 5000).

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Definitions:

Asset Increase

An increase in the total value of assets owned by a company, which can occur due to acquisitions, improvements, or valuation increases.

Corresponding Decrease

A decrease in one variable or metric that occurs in response to an increase in another variable.

Liability

A financial obligation or debt that an entity is required to pay to another entity.

Change In Accounting Principle

An adjustment in the way a company recognizes, measures, presents, or discloses financial information due to a change in accounting policy.