The Table Below Is the Probability Table for a Random

question 37

Short Answer

The table below is the probability table for a random variable X. Find Var(X). $$\begin{array} { l | l l l l l l } \text { Outcome } & - 3 & - 2 & - 1 & 1 & 2 & 3 \\\hline \text { Probability } & 0.1 & 0.1 & 0.4 & 0.3 & 0.05 & 0.05\end{array}$$ Enter just a real number rounded off to two decimal places.

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Definitions:

Stable Conformation

The most energetically favorable arrangement of atoms in a molecule that minimizes strain.

Chair Conformations

A specific, stable three-dimensional shape adopted by cyclic molecules such as cyclohexane, minimizing steric strain and offering two alternating conformations.

Axial Ethyl

Refers to an ethyl group attached perpendicular to the plane of a molecule, especially in cyclic compounds.

Equatorial Ethyl

A term not typically used in standard chemical nomenclature and could refer to the placement of an ethyl group in an equatorial position on a cyclohexane ring, emphasizing its spatial orientation.