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The Standardized Gaussian PRNG Produces Gi Zi=2Gi+3Z _ { i } = 2 G _ { i } + 3

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The standardized Gaussian PRNG produces Gi .What is the mean and variance of Zi=2Gi+3Z _ { i } = 2 G _ { i } + 3


Definitions:

Behavioral Choices

Decisions individuals make concerning their actions, which are guided by cognitive processes, environmental influences, and past experiences.

Habituation

The process by which an individual becomes accustomed to a stimulus through repeated exposure, leading to decreased response.

Unconditioned Response

An automatic, natural reaction to a stimulus that occurs without the need for prior learning or conditioning.

Sensitization

The process by which an individual becomes more sensitive to a stimulus after being exposed to it, often leading to heightened responses.

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