For Random Variables, X and Y, If Y = a

question 4

True/False

For random variables, x and y, if y = a + bx, then σ_y = a + bσ_x.

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Definitions:

Hypothalamus

This part of the brain, positioned below the thalamus, plays a pivotal role in controlling the autonomic nervous system and the function of the pituitary, thereby regulating essential homeostatic processes like body temperature, thirst, hunger, and additional systems critical for internal stability.

Autonomic Nervous System

The part of the nervous system that controls involuntary bodily functions, including heartbeat, digestion, and breathing.

Endocrine System

A collection of glands that secrete hormones into the bloodstream, regulating processes such as growth, metabolism, and mood.

Cerebrum

The largest part of the brain, responsible for voluntary actions, speech, senses, thought, and memory.