Determine Whether the Following Is a Probability Distribution

question 4

Essay

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied.
$\begin{array} { c | c } \boldsymbol { x } & \boldsymbol { P } ( \boldsymbol { x } ) \\\hline 0 & 0.109 \\1 & 0.208 \\2 & 0.246 \\3 & 0.159 \\4 & 0.096 \\5 & 0.228\end{array}$

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Definitions:

Cournot

A model of duopoly in which two firms assume the output of the other, deciding their own production levels to maximize profit.

Sequential Game

A type of game theory model where players make decisions one after another, with each player's decision possibly affecting future decisions by themselves or others.

Simultaneous-Move Scenario

A situation in game theory where all players make their decisions or choose their strategies at the same time without knowledge of the others' choices.

Sequentially Played Game

A game in which players make decisions or moves one after another, in a specific sequence.