A Legendary Football Coach Was Known for His Winning Seasons

question 71

Essay

A legendary football coach was known for his winning seasons. He consistently won nine or more games perseason. Suppose x equals the number of games won up to the halfway mark (six games) in a 12-game season. Ifthis coach and his team had a probability p = 0.75 of winning any one game (and the winning or losing of onegame was independent of another), then the probability distribution of the number x of winning games in aseries of six games is: $$\begin{array} { l | l } x & P ( x ) \\\hline 0 & 0.000244 \\1 & 0.004395 \\2 & 0.032959 \\3 & 0.131836 \\4 & 0.296631 \\5 & 0.355957 \\6 & 0.177979\end{array}$$ Find the expected number of winning games in the first half of the season for this coachʹs football teams.

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Definitions:

Higher Status

Describes a position of greater power, respect, or social standing compared to others.

Fundamental Attribution Error

The tendency for people to over-emphasize personality-based explanations for behaviors observed in others while underestimating the influence of external factors.

Schematic Processing

A cognitive process that uses social schemata to organize and interpret information about the social world.

Schemas

Cognitive frameworks or concepts that help individuals organize and interpret information, based on past experiences and knowledge.