Statistics: The Art and Science of Learning from Data (4th Edition)

4th Edition

ISBN: 9780321997838

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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Concept explainers

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

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Textbook Question

Chapter 5.4, Problem 63PB

Simulating donations to local blood bank The director of a local blood bank is in need of a donor with type AB blood. The distribution of blood types for Americans is estimated by the American Red Cross to be

Chapter 5.4, Problem 63PB, Simulating donations to local blood bank The director of a local blood bank is in need of a donor

The director decides that if more than 20 donors are required before the first donor with AB blood appears, she will need to issue a special appeal for AB blood.

a. Conduct a simulation 10 times, using the Random Numbers web app accessible on the book’s website or a calculator or software, to estimate the probability this will happen. Show all steps of the simulation, including any assumptions that you make. Refer to Example 16 as a model for carrying out this simulation.
b. In practice, you would do at least 1000 simulations to estimate this probability well. You’d then find that the probability of exceeding 20 donors before finding a type AB donor is 0.36. Actually, simulation is not needed. Show how to find this probability by using the methods of this chapter.

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Chapter 5.4, Problem 62PB

Chapter 5.4, Problem 64PB

Chapter 5 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

Ch. 5.1 - Probability Explain what is meant by the long-run...Ch. 5.1 - Testing a coin Your friend decides to flip a coin...Ch. 5.1 - Vegetarianism You randomly sample 10 people in...Ch. 5.1 - Airline accident deaths Airplane safety has been...Ch. 5.1 - World Cup 2014 The powerrank.com website...Ch. 5.1 - Random digits Consider a random number generator...Ch. 5.1 - Polls and sample size A pollster agency wants to...Ch. 5.1 - Heart transplant Before the first human heart...Ch. 5.1 - Nuclear war You are asked to use your best...Ch. 5.1 - Simulate coin flips Use the web app Random Numbers...

Ch. 5.1 - Unannounced pop quiz A teacher announces a pop...Ch. 5.2 - Student union poll Part of a student opinion poll...Ch. 5.2 - Random digit A single random digit (from 09) is...Ch. 5.2 - Pop quiz A teacher gives a four-question...Ch. 5.2 - More true-false questions Your teacher gives a...Ch. 5.2 - Rolling two dice Some friends are playing a game...Ch. 5.2 - Two girls A couple plans to have two children....Ch. 5.2 - Three children A couple plans to have three...Ch. 5.2 - Wrong sample space A couple plans to have four...Ch. 5.2 - Insurance Every year the insurance industry spends...Ch. 5.2 - Cell phone and case At the local cell phone store,...Ch. 5.2 - Seat belt use and auto accidents Based on records...Ch. 5.2 - Protecting the environment When the General Social...Ch. 5.2 - Prob. 25PB Ch. 5.2 - Newspaper sales You are the director of newspaper...Ch. 5.2 - Prob. 27PB Ch. 5.3 - Recidivism rates A 2014 article from Business...Ch. 5.3 - Prob. 29PB Ch. 5.3 - Audit and low income Table 5.3 on audit status and...Ch. 5.3 - Religious affiliation The 2012 Statistical...Ch. 5.3 - Prob. 32PB Ch. 5.3 - Prob. 33PB Ch. 5.3 - Go Celtics! Larry Bird, who played pro basketball...Ch. 5.3 - Prob. 35PB Ch. 5.3 - Homeland security According to an article in The...Ch. 5.3 - Down syndrome again Example 8 discussed the Triple...Ch. 5.3 - Prob. 38PB Ch. 5.3 - Happiness in relationship Are people happy in...Ch. 5.3 - Prob. 40PB Ch. 5.3 - Prob. 41PB Ch. 5.3 - Prob. 42PB Ch. 5.3 - Prob. 43PB Ch. 5.3 - Prob. 44PB Ch. 5.3 - Family with two children For a family with two...Ch. 5.3 - Prob. 46PB Ch. 5.4 - Birthdays of presidents Of the first 44 presidents...Ch. 5.4 - Prob. 48PB Ch. 5.4 - Lots of pairs Show that with 25 students, there...Ch. 5.4 - Prob. 50PB Ch. 5.4 - Prob. 51PB Ch. 5.4 - Prob. 52PB Ch. 5.4 - Coincidence in your life State an event that has...Ch. 5.4 - Monkeys typing Shakespeare Since events of low...Ch. 5.4 - A true coincidence at DisneyWorld Wisconsin has...Ch. 5.4 - Prob. 56PB Ch. 5.4 - Mammogram diagnostics Breast cancer is the most...Ch. 5.4 - Prob. 58PB Ch. 5.4 - Prob. 59PB Ch. 5.4 - Convicted by mistake In criminal trials (e.g.,...Ch. 5.4 - DNA evidence compelling? DNA evidence can be...Ch. 5.4 - Prob. 62PB Ch. 5.4 - Simulating donations to local blood bank The...Ch. 5.4 - Probability of winning In Example 16, we estimated...Ch. 5 - Peyton Manning completions As of the end of the...Ch. 5 - Due for a boy? A couple has five children, all...Ch. 5 - Prob. 68CP Ch. 5 - Choices for lunch For the set lunch at Amelias...Ch. 5 - Caught doctoring the books After the major...Ch. 5 - Life after death In a General Social Survey, in...Ch. 5 - Death penalty jury In arguing against the death...Ch. 5 - Drivers exam Three 15-year-old friends with no...Ch. 5 - Prob. 74CP Ch. 5 - Health insurance According to a 2006 census bureau...Ch. 5 - Prob. 76CP Ch. 5 - Prob. 77CP Ch. 5 - Prob. 78CP Ch. 5 - Prob. 79CP Ch. 5 - Roll two more dice Refer to the previous exercise....Ch. 5 - Prob. 81CP Ch. 5 - Waste dump sites A federal agency is deciding...Ch. 5 - Prob. 83CP Ch. 5 - Prob. 84CP Ch. 5 - Prob. 85CP Ch. 5 - Death penalty and false positives For the decision...Ch. 5 - Prob. 87CP Ch. 5 - Screening for heart attacks Biochemical markers...Ch. 5 - Prob. 89CP Ch. 5 - Color blindness For genetic reasons, color...Ch. 5 - Prob. 91CP Ch. 5 - Prostate cancer A study of the PSA blood test for...Ch. 5 - Prob. 95CP Ch. 5 - Illustrate probability terms with scenarios a....Ch. 5 - Short term versus long run Short-term aberrations...Ch. 5 - Prob. 98CP Ch. 5 - Mrs. Test Mrs. Test (see www.mrstest.com) sells...Ch. 5 - Prob. 100CP Ch. 5 - Prob. 101CP Ch. 5 - Prob. 102CP Ch. 5 - Protective bomb Before the days of high security...Ch. 5 - Streak shooter Sportscaster Maria Coselli claims...Ch. 5 - Multiple choice Choose ALL correct responses. For...Ch. 5 - Prob. 106CP Ch. 5 - Prob. 107CP Ch. 5 - Multiple choice: Dream come true You have a dream...Ch. 5 - Prob. 109CP Ch. 5 - True or false Answer true of false for each part....Ch. 5 - True or false When you flip a balanced coin twice,...Ch. 5 - Prob. 112CP Ch. 5 - Prob. 113CP Ch. 5 - Prob. 114CP Ch. 5 - Prob. 115CP Ch. 5 - Prob. 116CP

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Solution Summary: The author explains how to perform 10 simulations and estimate the probability of not getting an AB blood group.

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