If the Random Variable X Is Normally Distributed with Mean $\mu$

question 47

True/False

If the random variable X is normally distributed with mean $\mu$ and standard deviation $\sigma$ ,then the random variable Z defined by $Z = ( X - \mu ) / \sigma$ is also normally distributed with mean 0 and standard deviation 1.

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Definitions:

Mental Predisposition

An individual's inclination or tendency to think, feel, or behave in a particular way due to a combination of genetic, environmental, and psychological factors.

Perceptual Set

A tendency to perceive or notice some aspects of the available sensory data while ignoring others, influenced by expectations and prior knowledge.

Artificial Laughter

Generated or simulated laughter, not resulting from genuine humor or joy.

John Locke

John Locke was a 17th-century English philosopher and physician, widely regarded as one of the most influential of Enlightenment thinkers, particularly concerning the development of political philosophy and his theories on self, identity, and consciousness.