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:

Tax Revenue

The income that is gained by governments through taxation, which is used to fund public services, government obligations, and infrastructure projects.

Tax

Mandatory financial charges imposed by a government on individuals, corporations, or transactions to fund public expenditures.

Good

A tangible product or service that satisfies some human desire or need, which can be bought or sold.

Units

Basic quantities or measurements used as standards for expressing and comparing the quantity of physical properties.