This Table Shows the Result of the Big Eight Conference

question 217

Multiple Choice

This table shows the result of the Big Eight Conference for the 1990 college football season. This is referred to as a "perfect progression". Assuming the "Won" score for each team is chosen at random at range 0-7, Find the probability that the results is form a perfect progression. $$\begin{array} { | c | c | c | } \hline \text { Team } & \text { Won } & \text { Lost } \\\hline \text { Nebraska(NU) } & 7 & 0 \\\hline \text { Oklahoma(OU) } & 6 & 1 \\\hline \text { Oklahoma State(OSU) } & 5 & 2 \\\hline \text { Colorado(CU) } & 4 & 3 \\\hline \text { Iowa State(ISU) } & 3 & 4 \\\hline \text { Missouri(MU) } & 2 & 5 \\\hline \text { Kansas(KU) } & 1 & 6 \\\hline \text { Minnesota State(MSU) } & 0 & 7 \\\hline\end{array}$$

• A) \(\frac { 1 } { 8 ^ { 8 } }\)
• B) \(\frac { 1 } { 8 }\)
• C) \(\frac { 8 ! } { 8 ^ { 7 } }\)
• D) \(\frac { 7 ! } { 7 ^ { 7 } }\)
• E) \(\frac { 8 ! } { 8 ^ { 8 } }\)

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Definitions:

Normal Probability Distribution

A bell-shaped distribution that is symmetric about the mean, showing how random variables are distributed.

Continuous Probability Distribution

A probability distribution that assigns probabilities to a continuum of possible outcomes, often described by a probability density function.

Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of data values; an indicator of data spread or how spread out the data are.

Standard Normal Distribution

A normal distribution with a mean of zero and a standard deviation of one, used in statistical analysis.