When Two Competing Teams Are Equally Matched, the Probability That $$2 ( 0.5 ) ^ { 4 } = 0.125 . \text { Further }$$

question 154

Essay

When two competing teams are equally matched, the probability that each team wins any
game is 0.5. The NBA championship goes to the team that wins four games in a best-of
seven series. If the teams were equally matched, the probability that the final series ends
with one of the teams sweeping four straight games would be 2 $$2 ( 0.5 ) ^ { 4 } = 0.125 . \text { Further }$$
probability calculations indicate that 25% of these series should last five games, 31.25%
should last six games, and the other 31.25% should last the full seven games. The table
shows the number of games it took to decide each of the last 57 NBA champs. Do you think
the teams are usually equally matched? Give statistical evidence to support your
conclusion. $$\begin{array} { | l | c | c | c | c | } \hline \text { Length of series } & 4 \text { games } & 5 \text { games } & 6 \text { games } & 7 \text { games } \\\hline \text { NBA finals } & 7 & 13 & 22 & 15 \\\hline\end{array}$$

Identify the fundamental procedures and terms in litigation and appeals.

Comprehend the principle and application of Alternative Dispute Resolution (ADR).

Understand the significance of the various types of courts and their jurisdictional bounds.

Recognize the essential elements and legal requirements for initiating and responding to litigation.

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Definitions:

Test Statistic

A value computed from sample data during a hypothesis test used to decide whether to reject the null hypothesis.

F-Distribution

A probability distribution used in analysis of variance, concerned with variability between and within data samples.

Positively Skewed

A distribution shape where most values are concentrated on the left side, with the tail extending to the right, indicating that the mean and median are greater than the mode.

Values

Numerical quantities, principles, or beliefs that are considered important or hold significance in a specific context, such as statistical data or personal ethics.