Essentials of Statistics, Books a la Carte Edition (6th Edition)
6th Edition
ISBN: 9780134687131
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4.2, Problem 31BB
Surge Protectors Refer to the accompanying figure showing surge protectors p and q used to protect an expensive television. If there is a surge in the voltage, the surge protector reduces it to a safe level. Assume that each surge protector has a 0.985
a. If the two surge protectors are arranged in series, what is the probability that a voltage surge will not damage the television? (Do not round the answer.)
b. If the two surge protectors are arranged in parallel, what is the probability that a voltage surge will not damage the television? (Do not round the answer.)
c. Which arrangement should be used for better protection?
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 4 Solutions
Essentials of Statistics, Books a la Carte Edition (6th Edition)
Ch. 4.1 - New Jersey Lottery Let A denote the event of...Ch. 4.1 - Probability Rewrite the following statement so...Ch. 4.1 - Interpreting Weather While this exercise was being...Ch. 4.1 - Subjective Probability Estimate the probability...Ch. 4.1 - Identifying Probability Values Which of the...Ch. 4.1 - Penicillin Who discovered penicillin: Sean Penn,...Ch. 4.1 - Avogadro Constant If you are asked on a quiz to...Ch. 4.1 - Births Example 2 in this section includes the...Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 9-12, assume that 50 births are...
Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - SAT Test When making a random guess for an answer...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - Randomness When using a computer to randomly...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Kentucky Pick 4 In the Kentucky Pick 4 lottery,...Ch. 4.1 - Finding Odds in Roulette A roulette wheel has 38...Ch. 4.1 - Kentucky Derby Odds When the horse California...Ch. 4.1 - Relative Risk and Odds Ratio In a clinical trial...Ch. 4.2 - Notation When randomly selecting an adult, A...Ch. 4.2 - Notation When randomly selecting adults, let M...Ch. 4.2 - Sample for a Poll There are 15,524,971 adults in...Ch. 4.2 - Rule of Complements When randomly selecting an...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20; use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - Redundancy. Exercises 25 and 26 involve...Ch. 4.2 - Redundancy. Exercises 25 and 26 involve...Ch. 4.2 - Acceptance Sampling. With one method of a...Ch. 4.2 - Acceptance Sampling. With one method of a...Ch. 4.2 - In Exercises 29 and 30, find the probabilities and...Ch. 4.2 - Prob. 30BSCCh. 4.2 - Surge Protectors Refer to the accompanying figure...Ch. 4.2 - Prob. 32BBCh. 4.2 - Exclusive Or The exclusive or means either one or...Ch. 4.2 - Complements and the Addition Rule Refer to the...Ch. 4.3 - Language: Complement of At Least One Let A = the...Ch. 4.3 - Probability of At Least One Let A = the event of...Ch. 4.3 - Notation When selecting one of your Facebook...Ch. 4.3 - Notation When selecting one of your Facebook...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - Probability of a Girl Assuming that boys and girls...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - Redundancy in Computer Hard Drives Assume that...Ch. 4.3 - Redundancy in Stadium Generators Large stadiums...Ch. 4.3 - Composite Drug Test Based on the data in Table 4-1...Ch. 4.3 - Composite Water Samples The Fairfield County...Ch. 4.3 - Shared Birthdays Find the probability that of 25...Ch. 4.4 - Notation What does the symbol ! represent? Six...Ch. 4.4 - New Jersey Pick 6 In the New Jersey Pick 6 lottery...Ch. 4.4 - Oregon Pick 4 In the Oregon Pick 4 lottery game, a...Ch. 4.4 - Combination Lock The typical combination lock uses...Ch. 4.4 - In Exercises 536, express all probabilities as...Ch. 4.4 - Social Security Numbers A Social Security number...Ch. 4.4 - Quinela In a horse race, a quinela bet is won if...Ch. 4.4 - Soccer Shootout In soccer, a tie at the end of...Ch. 4.4 - Grading Exams Your professor has just collected...Ch. 4.4 - Radio Station Call Letters If radio station call...Ch. 4.4 - Scheduling Routes A presidential candidate plans...Ch. 4.4 - Survey Reliability A survey with 12 questions is...Ch. 4.4 - Safety with Numbers The author owns a safe in...Ch. 4.4 - Electricity When testing for current in a cable...Ch. 4.4 - Sorting Hat At Hogwarts School of Witchcraft and...Ch. 4.4 - Moving Company The United Van Lines moving company...Ch. 4.4 - Powerball As of this writing, the Powerball...Ch. 4.4 - Teed Off When four golfers are about to begin a...Ch. 4.4 - ZIP Code If you randomly select five digits, each...Ch. 4.4 - FedEx Deliveries With a short time remaining in...Ch. 4.4 - Phone Numbers Current rules for telephone area...Ch. 4.4 - Classic Counting Problem A classic counting...Ch. 4.4 - Corporate Officers and Committees The Digital Pet...Ch. 4.4 - ATM You want to obtain cash by using an ATM, but...Ch. 4.4 - Party Mix DJ Marty T is hosting a party tonight...Ch. 4.4 - Identity Theft with Credit Cards Credit card...Ch. 4.4 - What a Word! One of the longest words in standard...Ch. 4.4 - Phase I of a Clinical Trial A clinical test on...Ch. 4.4 - Mega Millions As of this writing, the Mega...Ch. 4.4 - Designing Experiment Clinical trials of Nasonex...Ch. 4.4 - Morse Codes The International Morse code is a way...Ch. 4.4 - Mendels Peas Mendel conducted some his famous...Ch. 4.4 - Change for a Quarter How many different ways can...Ch. 4.4 - Counting with Fingers How many different ways can...Ch. 4.4 - Change for a Quarter How many different ways can...Ch. 4.4 - Win 1 Billion Quicken Loans offered a prize of 1...Ch. 4.4 - Computer Variable Names A common computer...Ch. 4.4 - High Fives a. Five mathletes celebrate after...Ch. 4 - Standard Tests Standard tests, such as the SAT or...Ch. 4 - Rain As the author is creating this exercise, a...Ch. 4 - Months If a month is randomly selected after...Ch. 4 - Social Networking Based on data from the Pew...Ch. 4 - Subjective Probability Estimate the probability...Ch. 4 - In Exercises 610, use the following results from...Ch. 4 - In Exercises 610, use the following results from...Ch. 4 - In Exercises 610, use the following results from...Ch. 4 - In Exercises 610, use the following results from...Ch. 4 - In Exercises 610, use the following results from...Ch. 4 - In Exercises 110, use the data in the accompanying...Ch. 4 - In Exercises 110, use the data in the accompanying...Ch. 4 - In Exercises 110, use the data in the accompanying...Ch. 4 - In Exercises 110, use the data in the accompanying...Ch. 4 - In Exercises 110, use the data in the accompanying...Ch. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - In Exercises 110, use the data in the accompanying...Ch. 4 - In Exercises 110, use the data in the accompanying...Ch. 4 - Prob. 10RECh. 4 - Black Cars Use subjective probability to estimate...Ch. 4 - Vision Correction About 75% of the U.S. population...Ch. 4 - National Statistics Day a. If a person is randomly...Ch. 4 - Composite Sampling for Diabetes Currently, the...Ch. 4 - Wild Card Lottery The Wild Card lottery is run in...Ch. 4 - Pennsylvania Cash 5 In the Pennsylvania Cash 5...Ch. 4 - Redundancy Using Braun battery-powered alarm...Ch. 4 - Exacta In a horse race, an exacta bet is won by...Ch. 4 - Fatal Drunk Driving Listed below are the blood...Ch. 4 - Fatal Drunk Driving Use the same data given in...Ch. 4 - Organ Donors USA Today provided information about...Ch. 4 - Sampling Eye Color Based on a study by Dr. P....Ch. 4 - Prob. 5CRECh. 4 - New Lottery Game In the Monopoly Millionaires Club...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...
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
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
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