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
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5.3, Problem 28PB
Recidivism rates A 2014 article from Business Insider (http://www.businessinsider.com/department-of-justice-report-shows-high-recidivism-rate-2014-4) discusses recidivism rates in the United States. Recidivism is defined as being reincarcerated within five years of being sent to jail initially. Among the data reported, Business Insider cites that the recidivism rate for blacks is 81 % compared to 73% among whites. Using notation, express each of these as a conditional
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
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. 25PBCh. 5.2 - Newspaper sales You are the director of newspaper...Ch. 5.2 - Prob. 27PBCh. 5.3 - Recidivism rates A 2014 article from Business...Ch. 5.3 - Prob. 29PBCh. 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. 32PBCh. 5.3 - Prob. 33PBCh. 5.3 - Go Celtics! Larry Bird, who played pro basketball...Ch. 5.3 - Prob. 35PBCh. 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. 38PBCh. 5.3 - Happiness in relationship Are people happy in...Ch. 5.3 - Prob. 40PBCh. 5.3 - Prob. 41PBCh. 5.3 - Prob. 42PBCh. 5.3 - Prob. 43PBCh. 5.3 - Prob. 44PBCh. 5.3 - Family with two children For a family with two...Ch. 5.3 - Prob. 46PBCh. 5.4 - Birthdays of presidents Of the first 44 presidents...Ch. 5.4 - Prob. 48PBCh. 5.4 - Lots of pairs Show that with 25 students, there...Ch. 5.4 - Prob. 50PBCh. 5.4 - Prob. 51PBCh. 5.4 - Prob. 52PBCh. 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. 56PBCh. 5.4 - Mammogram diagnostics Breast cancer is the most...Ch. 5.4 - Prob. 58PBCh. 5.4 - Prob. 59PBCh. 5.4 - Convicted by mistake In criminal trials (e.g.,...Ch. 5.4 - DNA evidence compelling? DNA evidence can be...Ch. 5.4 - Prob. 62PBCh. 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. 68CPCh. 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. 74CPCh. 5 - Health insurance According to a 2006 census bureau...Ch. 5 - Prob. 76CPCh. 5 - Prob. 77CPCh. 5 - Prob. 78CPCh. 5 - Prob. 79CPCh. 5 - Roll two more dice Refer to the previous exercise....Ch. 5 - Prob. 81CPCh. 5 - Waste dump sites A federal agency is deciding...Ch. 5 - Prob. 83CPCh. 5 - Prob. 84CPCh. 5 - Prob. 85CPCh. 5 - Death penalty and false positives For the decision...Ch. 5 - Prob. 87CPCh. 5 - Screening for heart attacks Biochemical markers...Ch. 5 - Prob. 89CPCh. 5 - Color blindness For genetic reasons, color...Ch. 5 - Prob. 91CPCh. 5 - Prostate cancer A study of the PSA blood test for...Ch. 5 - Prob. 95CPCh. 5 - Illustrate probability terms with scenarios a....Ch. 5 - Short term versus long run Short-term aberrations...Ch. 5 - Prob. 98CPCh. 5 - Mrs. Test Mrs. Test (see www.mrstest.com) sells...Ch. 5 - Prob. 100CPCh. 5 - Prob. 101CPCh. 5 - Prob. 102CPCh. 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. 106CPCh. 5 - Prob. 107CPCh. 5 - Multiple choice: Dream come true You have a dream...Ch. 5 - Prob. 109CPCh. 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. 112CPCh. 5 - Prob. 113CPCh. 5 - Prob. 114CPCh. 5 - Prob. 115CPCh. 5 - Prob. 116CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward
- 3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward
- 1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward1990) 02-02 50% mesob berceus +7 What's the probability of getting more than 1 head on 10 flips of a fair coin?arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x≤x≤x+h), h>0. = x (a) Show that Qx+b(h) = Qx(h).arrow_forward
- Suppose that you buy a lottery ticket, and you have to pick six numbers from 1 through 50 (repetitions allowed). Which combination is more likely to win: 13, 48, 17, 22, 6, 39 or 1, 2, 3, 4, 5, 6? barrow_forward2 Make a histogram from this data set of test scores: 72, 79, 81, 80, 63, 62, 89, 99, 50, 78, 87, 97, 55, 69, 97, 87, 88, 99, 76, 78, 65, 77, 88, 90, and 81. Would a pie chart be appropriate for this data? ganizing Quantitative Data: Charts and Graphs 45arrow_forward10 Meteorologists use computer models to predict when and where a hurricane will hit shore. Suppose they predict that hurricane Stat has a 20 percent chance of hitting the East Coast. a. On what info are the meteorologists basing this prediction? b. Why is this prediction harder to make than your chance of getting a head on your next coin toss? U anoiaarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License