Essentials of Statistics (5th Edition)
5th Edition
ISBN: 9780321924599
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 4.6, Problem 30BSC
a.
To determine
To obtain: The
b.
To determine
To obtain: The probability of randomly selecting the ATM card position, incorrectly inserting it on the first attempt, and then correctly inserting it on the second attempt.
c.
To determine
To obtain: The number of random selections that are required to be absolutely sure that the card works because it is inserted correctly.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Chapter 4 Solutions
Essentials of Statistics (5th Edition)
Ch. 4.2 - Florida Lottery Let A denote the event of placing...Ch. 4.2 - Probability Given that the following statement is...Ch. 4.2 - Interpreting Weather While this exercise was being...Ch. 4.2 - Subjective Probability Estimate the probability...Ch. 4.2 - Prob. 5BSCCh. 4.2 - Prob. 6BSCCh. 4.2 - Prob. 7BSCCh. 4.2 - Prob. 8BSCCh. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...
Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - In Exercises 912, assume that 400 births are...Ch. 4.2 - Traffic Light When arriving at the traffic light...Ch. 4.2 - Weather While this exercise was being created,...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pierced Ears Based on a Harris poll, there is a...Ch. 4.2 - SAT Test When making a random guess for an answer...Ch. 4.2 - Dice When rolling a pair of dice at the Bellagio...Ch. 4.2 - Statistics Test It is impossible to pass a...Ch. 4.2 - In Exercises 1320, express the indicated degree of...Ch. 4.2 - Pre-Employment Drug Screening Find the probability...Ch. 4.2 - Pre-Employment Drug Screening Hind the probability...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - Table 4-1 Pre-Employment Drug Screening Results...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Struck by Lightning In a recent year, 304 of the...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Using Probability to Identify Unlikely Events. In...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - Two Children Exercise 37 lists the sample spice...Ch. 4.2 - Probability from a Sample Space. In Exercises...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - In Exercises 2532, find the probability and answer...Ch. 4.2 - Prob. 43BBCh. 4.2 - Finding Odds in Roulette A roulette wheel has 38...Ch. 4.2 - Prob. 45BBCh. 4.2 - Prob. 46BBCh. 4.2 - Relative Risk and Odds Ratio In a clinical trial...Ch. 4.3 - Complements What is wrong with the expression?...Ch. 4.3 - Casino Craps A gambler plans to play the casino...Ch. 4.3 - Disjoint Events For a Gallup poll, M is the event...Ch. 4.3 - Rule of Complements One form of the rule of...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Determining Whether Events Are Disjoint. For...Ch. 4.3 - Whatever A Marist poll survey showed that 47% of...Ch. 4.3 - Online Courses According to the National...Ch. 4.3 - Flirting Survey In a Microsoft Instant Messaging...Ch. 4.3 - Finding Complements. In Exercises 58, find the...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the test subjects is...Ch. 4.3 - Drug Screening If one of the subjects it randomly...Ch. 4.3 - Drug Screening If one of the subjects is randomly...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Dosage Calculations. In Exercises 2126, use the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - Prob. 31BSCCh. 4.3 - Survey Refusals. In Exercises 2732, refer to the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - In Exercises 3338, use these results from the...Ch. 4.3 - Gender Selection When analyzing results from a...Ch. 4.3 - Disjoint Events If events A and B are disjoint and...Ch. 4.3 - Exclusive Or The formal addition rule expressed...Ch. 4.3 - Extending the Addition Rule Extend the formal...Ch. 4.3 - Complements and the Addition Rule a. Develop a...Ch. 4.4 - Notation Let R be the event of randomly selecting...Ch. 4.4 - Independent and Dependent Events Are events R and...Ch. 4.4 - Independent and Dependent Events True or false:...Ch. 4.4 - Sample for a Poll There are currently 28,741,346...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Independent and Dependent Events. In Exercises...Ch. 4.4 - Pro-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Pre-Employment Drug Screening. In Exercises 1316,...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Acceptance Sampling With one method of a procedure...Ch. 4.4 - Redundancy In Computer Hard Drives It is generally...Ch. 4.4 - Redundancy In Aircraft Radios The FAA requires...Ch. 4.4 - Born on the 4th of July For the following, ignore...Ch. 4.4 - Hiring Employees Assume that Google, Inc. hires...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - In Exercises 2326, use these results from the...Ch. 4.4 - Prob. 26BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - Prob. 29BSCCh. 4.4 - In Exercises 2730, find the probabilities and...Ch. 4.4 - System Reliability Refer to the figure at the top...Ch. 4.4 - Prob. 32BBCh. 4.5 - Prob. 1BSCCh. 4.5 - Prob. 2BSCCh. 4.5 - Prob. 3BSCCh. 4.5 - Confusion of the Inverse Using the same events A...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - Describing Complements. In Exercises 58, provide a...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - At Least One Working Calculator A statistics...Ch. 4.5 - Probability of a Girl Assuming that boys and girls...Ch. 4.5 - At Least One Correct Answer If you make random...Ch. 4.5 - Births in the United States hi the United States,...Ch. 4.5 - Births in China In China, the probability of a...Ch. 4.5 - Car Crashes The probability of a randomly selected...Ch. 4.5 - Cleared Burglaries According 10 FBI data, 12.4% of...Ch. 4.5 - At Least One. In Exercises 5-12, find the...Ch. 4.5 - Compliments at Work Based on a poll conducted...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - In Exercises 19-24, refer to Table 4-1, included...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Identical and Fraternal Twins. In Exercises 25-28,...Ch. 4.5 - Prob. 27BSCCh. 4.5 - Prob. 28BSCCh. 4.5 - Redundancy in Computer Hard Drives Assume that...Ch. 4.5 - Prob. 30BSCCh. 4.5 - Composite Drug Screening Based on the data in...Ch. 4.5 - Composite Water Samples The Fairfield County...Ch. 4.5 - Prob. 33BBCh. 4.5 - Prob. 34BBCh. 4.6 - Prob. 1BSCCh. 4.6 - Prob. 2BSCCh. 4.6 - California Daily 4 The winning numbers for the...Ch. 4.6 - Selections with Replacement When randomly...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 9BSCCh. 4.6 - Prob. 10BSCCh. 4.6 - Prob. 11BSCCh. 4.6 - Prob. 12BSCCh. 4.6 - Prob. 13BSCCh. 4.6 - Prob. 14BSCCh. 4.6 - Prob. 15BSCCh. 4.6 - Florida Lottery Winning the jackpot in the Florida...Ch. 4.6 - Prob. 17BSCCh. 4.6 - Prob. 18BSCCh. 4.6 - Prob. 19BSCCh. 4.6 - Prob. 20BSCCh. 4.6 - Prob. 21BSCCh. 4.6 - Prob. 22BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 24BSCCh. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Jumble Puzzle Many newspapers carry Jumble, a...Ch. 4.6 - Prob. 27BSCCh. 4.6 - Prob. 28BSCCh. 4.6 - Electricity When testing for current in a cable...Ch. 4.6 - Prob. 30BSCCh. 4.6 - Prob. 31BSCCh. 4.6 - In Exercises 5-36, express all probabilities as...Ch. 4.6 - Prob. 33BSCCh. 4.6 - Prob. 34BSCCh. 4.6 - Prob. 35BSCCh. 4.6 - Prob. 36BSCCh. 4.6 - Prob. 37BBCh. 4.6 - Prob. 38BBCh. 4.6 - Prob. 39BBCh. 4.6 - Prob. 40BBCh. 4 - A multiple-choice question on a statistics quiz...Ch. 4 - As the author is creating this exercise, a weather...Ch. 4 - Prob. 3CQQCh. 4 - Prob. 4CQQCh. 4 - Estimate the probability that a randomly selected...Ch. 4 - Prob. 6CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prob. 8CQQCh. 4 - In Exercises 6-10, use site following results from...Ch. 4 - Prob. 10CQQCh. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prison and Plea. In Exercises 1-10, use the data...Ch. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Trifecta In horse racing, a trifecta is a bet that...Ch. 4 - Prob. 1CRECh. 4 - Unusual/Unlikely Events a. The mean pulse rate for...Ch. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Sampling Eye Color Based on a study by Dr. P....Ch. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 1FDDCh. 4 - Prob. 2FDDCh. 4 - Prob. 3FDDCh. 4 - Prob. 4FDDCh. 4 - Prob. 5FDDCh. 4 - Prob. 6FDDCh. 4 - Prob. 7FDDCh. 4 - Critical Thinking: Interpreting medical test...Ch. 4 - Prob. 9FDD
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
- Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and set Var X = 0². Then, for 0 0, P(X > x) ≤e-x+1²² P(|X|>x) ≤2e-1x+1²² (ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for x > 0. and 0x) ≤2 exp Σ k=1 (iii) If, in addition, X1, X2, X, are identically distributed, then P(S|x) ≤2 expl-tx+nt²o).arrow_forwardTheorem 5.1 (Jensen's inequality) state without proof the Jensen's Ineg. Let X be a random variable, g a convex function, and suppose that X and g(X) are integrable. Then g(EX) < Eg(X).arrow_forwardCan social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.arrow_forward
- Question: we know that for rt. (x+ys s ا. 13. rs. and my so using this, show that it vye and EIXI, EIYO This : E (IX + Y) ≤2" (EIX (" + Ely!")arrow_forwardTheorem 2.4 (The Hölder inequality) Let p+q=1. If E|X|P < ∞ and E|Y| < ∞, then . |EXY ≤ E|XY|||X|| ||||qarrow_forwardTheorem 7.6 (Etemadi's inequality) Let X1, X2, X, be independent random variables. Then, for all x > 0, P(max |S|>3x) ≤3 max P(S| > x). Isk≤narrow_forward
- Theorem 7.2 Suppose that E X = 0 for all k, that Var X = 0} x) ≤ 2P(S>x 1≤k≤n S√2), -S√2). P(max Sk>x) ≤ 2P(|S|>x- 1arrow_forwardThree players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).If the chooser's declarations are Chooser 1: {s3} and Chooser 2: {s3}, which of the following is a fair division of the cake?arrow_forwardTheorem 1.4 (Chebyshev's inequality) (i) Suppose that Var X x)≤- x > 0. 2 (ii) If X1, X2,..., X, are independent with mean 0 and finite variances, then Στη Var Xe P(|Sn| > x)≤ x > 0. (iii) If, in addition, X1, X2, Xn are identically distributed, then nVar Xi P(|Sn> x) ≤ x > 0. x²arrow_forwardTheorem 2.5 (The Lyapounov inequality) For 0arrow_forwardTheorem 1.6 (The Kolmogorov inequality) Let X1, X2, Xn be independent random variables with mean 0 and suppose that Var Xk 0, P(max Sk>x) ≤ Isk≤n Σ-Var X In particular, if X1, X2,..., X, are identically distributed, then P(max Sx) ≤ Isk≤n nVar X₁ x2arrow_forwardTheorem 3.1 (The Cauchy-Schwarz inequality) Suppose that X and Y have finite variances. Then |EXYarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALProbability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BYIntroduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY