Question

The figure below shows the results of a basketball player shooting several free throws. Explain what this graph says about chance behavior in the short run and long run. (FIGURE CAN'T COPY)

Name: Problem 7, Chapter 5: The Practice of Statistics for AP
Uploaded: 2020-03-30T22:22:55-08:00
Duration: 1 min 30 s
Channel: Alice Simper
Description: The figure below shows the results of a basketball player shooting several free throws. Explain what this graph says about chance behavior in the short run and long run. (FIGURE CAN'T COPY)

   The figure below shows the results of a basketball player shooting several free throws. Explain what this graph says about chance behavior in the short run and long run.  (FIGURE CAN'T COPY)

The Practice of Statistics for AP

Daxen S.Starnes,… 4th Edition

Chapter 5, Problem 7

Instant Answer

Solved by Expert Alice Simper

03/30/2020

Step 1

Typically, such a graph might display the cumulative success rate of free throws over time or the success rate for each individual attempt. Show more…

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The figure below shows the results of a basketball player shooting several free throws. Explain what this graph says about chance behavior in the short run and long run. (FIGURE CAN'T COPY)

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Key Concepts

Short-run variability

In individual or a small number of trials, outcomes often show significant fluctuations due to random chance. This means that even if the underlying probability of success is fixed, short sequences of trials may diverge noticeably from the expected value, making the outcomes seem erratic or unpredictable in the short term.

Law of Large Numbers

This statistical principle states that as the number of trials increases, the observed outcomes tend to converge on the theoretical probability. In the context of repeated events, such as free throws, the overall success rate becomes more stable, reflecting the true underlying probability, despite short-term fluctuations.

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