Probability: Chapter 8 Study Guide
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Questions and Answers

Which of the following is true about the shape of the distribution for the double box and whisker plot?

  • Both Bookstores A and B are skewed right
  • Both Bookstores A and B are skewed left
  • Bookstore A is relatively symmetric and Bookstore B is skewed left
  • Bookstore A is relatively symmetric and Bookstore B is skewed right (correct)

Compare the medians of the bookstore prices. What is Bookstore B's median?

85

You ask 250 randomly chosen students how many extracurricular activities they participate in. 100 students said they participate in 1 extracurricular activity, 75 students said they participate in none, and 75 said they participate in more than 1. What percentage of the sampled students participate in 1 extracurricular activity?

  • 20%
  • 10%
  • 40% (correct)
  • 30%

Predict the number of students in the school who participate in more than 1 extracurricular activity if 2000 students attend the school?

<p>600</p> Signup and view all the answers

You want to estimate the number of students in your school who prefer wearing college sweatshirts over the uniform OTA sweatshirts. Determine which sample(s) are biased or unbiased:

<p>All of the students wearing OTA sweatshirts (B), All of the students who love Ohio State at the school (C)</p> Signup and view all the answers

Mrs. Miller surveyed 28 students who walk to school. 27 of them say they live within a mile of the school. She concluded that about 96% of the students at OTA live close to the school. Is this conclusion valid or invalid?

<p>False (B)</p> Signup and view all the answers

A pizza restaurant has 8 sauce options, 1 crust options and 10 topping options. What are the total possible pizza combinations at the restaurant?

<p>80 (A)</p> Signup and view all the answers

The restaurant decides to add 1 additional crust option. How many more possible pizza options does the restaurant offer now?

<p>80</p> Signup and view all the answers

There are 2 true/false questions and 1 four-answer multiple choice question on the pop quiz. If you randomly guess on all three questions, what is the probability that you answer both true/ false questions correctly and the multiple choice question incorrectly?

<p>3/16</p> Signup and view all the answers

There are 50 raffle tickets in the bag. Your name is on 8 of the tickets. If there are two prizes to win, what is the probability that you do not win either prize? (write answer as simplified fraction)

<p>123/175</p> Signup and view all the answers

Are winning both prizes dependent or independent events?

<p>True (A)</p> Signup and view all the answers

There are 15 red paperclips, 6 blue paperclips, and 9 yellow paperclips in a jar. Find the probability (percentage) of choosing a red paperclip.

<p>50% (D)</p> Signup and view all the answers

There are 15 red paperclips, 6 blue paperclips, and 9 yellow paperclips in a jar. Find the probability (percentage) of choosing a blue or red paperclip.

<p>70% (B)</p> Signup and view all the answers

There are 15 red paperclips, 6 blue paperclips, and 9 yellow paperclips in a jar. Find the probability (percentage) of not choosing a blue paperclip.

<p>80% (B)</p> Signup and view all the answers

Use the bar graph to find the experimental probability of rolling a 1 (write answers as a simplified fraction)

<p>2/15</p> Signup and view all the answers

Use the bar graph to find the experimental probability of rolling an even number (write answers as a simplified fraction)

<p>8/15</p> Signup and view all the answers

Use the bar graph to find the experimental probability of rolling a composite number (write answers as a simplified fraction)

<p>1/3</p> Signup and view all the answers

What does the experimental probability of rolling a 2 compare to the theoretical probability of the event occurring? Explain.

<p>The experimental probability is higher than the theoretical probability.</p> Signup and view all the answers

Compare the of the bookstore price interquartile ranges. What is Bookstore B IQR?

<p>20</p> Signup and view all the answers

The double dot plot shows the flight times for two airlines: Airjet Express and Cross Country Airlines. What is the Airjet Mean?

<p>5</p> Signup and view all the answers

The double dot plot shows the flight times for two airlines: Airjet Express and Cross Country Airlines. What is the Cross Country Mean?

<p>4.5</p> Signup and view all the answers

Compare the mean absolute deviation of the flight times for both airlines. What is the Airjet MAD?

<p>1.2</p> Signup and view all the answers

Compare the mean absolute deviation of the flight times for both airlines. What is the Cross Country MAD?

<p>2</p> Signup and view all the answers

If a data set has a smaller mean absolute deviation, what does that say about the data set?

<p>The smaller the MAD, the lower the variation. This means the values are closer together.</p> Signup and view all the answers

Flashcards

Probability

The chance that an event will occur.

Experimental Probability

Probability based on the results of an experiment.

Simplified Fraction

A fraction in its simplest form, where the numerator and denominator have no common factors other than 1.

Composite Number

A number that has more than two factors (including 1 and itself).

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Random Sample

A selection taken randomly from a larger group so as to have equal possibility.

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Biased Sample

A sample that does not accurately represent the population.

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Unbiased Sample

A sample that accurately represents the population.

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Valid Conclusion

Does the sample support the conclusion that was made.

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Combination

Number of arrangements when order doesn't matter

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Dependent Events

Events where the outcome of one affects the other.

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Median

The 'middle' value separating the greater and lesser halves.

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Interquartile Range (IQR)

Box-and-whisker plots divided the data set into sections.

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Skewed Distribution

Data is more spread out on one side

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Symmetric Distribution

The distribution is evenly balanced

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Mean Absolute Deviation (MAD)

Typical difference between each data point and the mean.

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Smaller MAD

A smaller MAD indicates that the data points are clustered together.

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Bar Graph

A bar graph is visual that is used to compare things.

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Mean

Find the sum of all items, then divide by the total number of items.

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Pizza Combination Calculation

Multiply the possibilities of the sauces and toppings

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Random Guess

Guessing with a low chance of getting the answer

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Probability with two items, and taking from each value.

Affects the probability due to the chance of removing items

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Double Dot Plot

This is a visual that showcases the distribution of items

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Book prices

Used to showcase the prices to see prices of data

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Student Survey

Surveys are used to help make assumptions to estimate

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Extracurricular Activities

Estimate extracurricular activities to calculate the outcome of amount of particpation

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Possibility

The chance something may occur or not

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True or False

How to figure out what is true versus false

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Multiple Choice Guess

Calculate multiple choice by taking a guess versus knowing

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Raffle Tickets

Raffles take many tickets in the chance to win things

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Lower Variation

If data showcases lower variation between numberss

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Study Notes

Chapter 8 Test Study Guide

  • There are 15 red, 6 blue, and 9 yellow paperclips in a jar, totaling 30 paperclips.

Probability of Events Involving Paperclips

  • Probability of choosing a red paperclip: 15/30 = 1/2 = 50%.
  • Probability of choosing a blue or red paperclip: (6+15)/30 = 21/30 = 7/10 = 70%.
  • Probability of not choosing a blue paperclip (choosing yellow or red): (9+15)/30 = 24/30 = 4/5 = 80%.
  • Probability of choosing a blue, red, or yellow paperclip: 30/30 = 100%.

Experimental Probability from a Bar Graph

  • Total number of rolls from a bar graph = 90.
  • Probability of rolling a 1: 12/90 = 2/15.
  • Probability of rolling an even number: (18+17+13)/90 = 48/90 = 8/15.
  • Probability of rolling a composite number: (14+16)/90 = 3/9 = 1/3.

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Description

Study guide covering probability calculations. Includes finding the probability of selecting colored paperclips. Also includes calculating experimental probability based on bar graph data from rolling dice.

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