A professional pool player claims that she sinks at least one ball in a pocket on 80% of her opening break shots. In a recent set of 20 games, she sunk at least one ball on her break shot in only 14 of the games. A simulation of 100 trials was conducted to see how unusual these most recent games are.Based on the dotplot of the simulation results and the pool player’s last 20 games, which conclusion can be drawn?The player’s true probability of sinking at least one ball on her break is 27%.Another 100 simulated trials would show a much different outcome; therefore, we cannot draw any conclusions.It is most likely that she would sink at least one ball during her break exactly 16 times.There is about a 27% chance of her sinking at least one ball on her break 14 or fewer times in 20 games. This result is not unusual and there is no convincing evidence that her average is less than 80% **The Professional Pool Player Performance****Description of the Graph:**This dot plot illustrates the frequency distribution of the number of games in which a professional pool player successfully made at least one ball on the break. The horizontal axis (x-axis) represents the number of games ranging from 8 to 20. The vertical axis (y-axis) denotes the frequency of occurrences for each number of games.**Key Observations:**- The peak frequency occurs at 15 games, with 25 instances.- There is a notable concentration of frequencies between 13 and 17 games, indicating a consistent performance range.- Lower frequencies are observed at both ends of the spectrum (8-12 and 18-20 games), suggesting less common performance levels.- The distribution appears somewhat symmetrical, with the highest frequencies clustered around the middle range (13-17 games).This data provides insights into the consistency and reliability of the player's performance, particularly in terms of successfully making at least one ball on the break during multiple games.

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Answered: Based on the dotplot of the simulation…

Math

Probability

Based on the dotplot of the simulation results and the pool player’s last 20 games, which conclusion can be drawn?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A professional pool player claims that she sinks at least one ball in a pocket on 80% of her opening break shots. In a recent set of 20 games, she sunk at least one ball on her break shot in only 14 of the games. A simulation of 100 trials was conducted to see how unusual these most recent games are.

Based on the dotplot of the simulation results and the pool player’s last 20 games, which conclusion can be drawn?

The player’s true probability of sinking at least one ball on her break is 27%.

Another 100 simulated trials would show a much different outcome; therefore, we cannot draw any conclusions.

It is most likely that she would sink at least one ball during her break exactly 16 times.

There is about a 27% chance of her sinking at least one ball on her break 14 or fewer times in 20 games. This result is not unusual and there is no convincing evidence that her average is less than 80%

**The Professional Pool Player Performance**

**Description of the Graph:**

This dot plot illustrates the frequency distribution of the number of games in which a professional pool player successfully made at least one ball on the break. The horizontal axis (x-axis) represents the number of games ranging from 8 to 20. The vertical axis (y-axis) denotes the frequency of occurrences for each number of games.

**Key Observations:**

- The peak frequency occurs at 15 games, with 25 instances.
- There is a notable concentration of frequencies between 13 and 17 games, indicating a consistent performance range.
- Lower frequencies are observed at both ends of the spectrum (8-12 and 18-20 games), suggesting less common performance levels.
- The distribution appears somewhat symmetrical, with the highest frequencies clustered around the middle range (13-17 games).

This data provides insights into the consistency and reliability of the player's performance, particularly in terms of successfully making at least one ball on the break during multiple games.

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