/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 17. Is this valid? Determine whether... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 17. (page 295)

Is this valid? Determine whether each of the following simulation designs is valid. Justify your answer.

(a) According to a recent poll, 75% of American adults regularly recycle. To simulate choosing a random sample of 100 U.S. adults and seeing how many

of them recycle, roll a 4-sided die 100 times. A result of 1,2, or 3 means the person recycles; a 4 means that the person doesn鈥檛 recycle.

(b) An archer hits the center of the target with 60% of her shots. To simulate having her shoot 10 times, use a coin. Flip the coin once for each of the 10

shots. If it lands heads, then she hits the center of the target. If the coin lands tails, she doesn鈥檛.

Short Answer

Expert verified

Part (a) It is valid.

Part (b) It is not valid.

Step by step solution

01

Part (a) Step 1. Given Information  

The simulation designs are available for download. It is necessary to determine what is wrong with each of them.

02

Part (a) Step 2. Concept Used   

A simulation is a method of simulating random behaviour using a model that accurately reflects the circumstance, which is usually done with random numbers.

03

Part (a) Step 3. Explanation  

The simulation in the question is accurate. It's valid since the person recycles if they roll a 1,2, or 3, which corresponds to 3 of the 4 possible outcomes. As a result, 34=0.75=75% is implied. As a result, the simulation depicts a sample of people who recycle 75% at the time.

04

Part (b) Step 1. Explanation   

The simulation in the question isn't accurate. Because the coin has a50% probability of landing heads vs a 60%chance of reaching the goal, this is not a credible simulation. As a result, the simulation presented is invalid.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Free throws 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.

Nickels falling over You may feel it鈥檚 obvious that the probability of a head tossing a coin is about12because the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this 25time, and record the results.

(a) What鈥檚 your estimate for the probability that the

coin falls heads up? Why?

(b) Explain how you could get an even better estimate.

Bright lights? A string of Christmas lights contains 20 lights. The lights are wired in series so that if any light fails the whole string will go dark. Each light

has a probability0.02 of failing during a3-year period. The lights fail independently of each other. Find the probability that the string of lights will remain bright for 3 years.

Teachers and college degrees Select an adult at random. Define events A: a person has earned a college degree, and T: person鈥檚 career is teaching. Rank the following probabilities from smallest to largest. Justify your answer.

P(A)P(T)P(A|T)P(T|A)

Role-playing games Computer games in which the players take the roles of characters are very popular. They go back to earlier tabletop games such as Dungeons & Dragons. These games use many different types of dice. A four-sided die has faces with 1,2,3and 4 spots.

(a) List the sample space for rolling the die twice (spots showing on first and second rolls).

(b) What is the assignment of probabilities to outcomes in this sample space? Assume that the die is perfectly balanced.
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.