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For the Given Probability Density Function, Find Var(X)\operatorname { Var } ( X )

question 35

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For the given probability density function, find Var(X) \operatorname { Var } ( X ) f(x) =38x2 on [0,2]f ( x ) = \frac { 3 } { 8 } x ^ { 2 } \text { on } [ 0,2 ]


Definitions:

Synaptic Connections

The points of contact where signals are transmitted between neurons or between neurons and other cell types.

Synaptic Plasticity

The ability of synapses, the connections between neurons, to strengthen or weaken over time, in response to increases or decreases in their activity.

Choroid Plexus

A network of cells in the ventricles of the brain responsible for producing cerebrospinal fluid.

Cerebrospinal Fluid

A clear, colorless body fluid found in the brain and spinal cord, serving as a cushion and participating in nutrient delivery and waste removal.

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