Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5.1, Problem 1BSC
Random Variable The accompanying table lists probabilities for the corresponding numbers of girls in four births. What is the random variable, what are its possible values, and are its values numerical?
Number of Girls in Four Births
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule01:48
Students have asked these similar questions
Questions
An insurance company's cumulative incurred claims for the last 5 accident years are given
in the following table:
Development Year
Accident Year 0
2018
1 2 3 4
245 267 274 289 292
2019
255 276 288 294
2020
265 283 292
2021
263 278
2022
271
It can be assumed that claims are fully run off after 4 years. The premiums received for
each year are:
Accident Year Premium
2018
306
2019
312
2020
318
2021
326
2022
330
You do not need to make any allowance for inflation.
1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method.
(b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method.
2. Comment on the differences in the reserves produced by the methods in Part 1.
From a sample of 26 graduate students, the mean number of months of work experience prior to entering an MBA program was 34.67. The national standard deviation is known to be18 months. What is a 90% confidence interval for the population mean?
Question content area bottom
Part 1
A
9090%
confidence interval for the population mean is
left bracket nothing comma nothing right bracketenter your response here,enter your response here.
(Use ascending order. Round to two decimal places as needed.)
A test consists of 10 questions made of 5 answers with only one correct answer. To pass the test, a student must answer at least 8 questions correctly. (a) If a student guesses on each question, what is the probability that the student passes the test? (b) Find the mean and standard deviation of the number of correct answers. (c) Is it unusual for a student to pass the test by guessing? Explain.
Chapter 5 Solutions
Essentials of Statistics (6th Edition)
Ch. 5.1 - Random Variable The accompanying table lists...Ch. 5.1 - Discrete or Continuous? Is the random variable...Ch. 5.1 - Probability Distribution For the accompanying...Ch. 5.1 - Significant For 100 births, P(exactly 56 girls) =...Ch. 5.1 - Identifying Discrete and Continuous Random...Ch. 5.1 - Identifying Discrete and Continuous Random...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...
Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Identifying Probability Distributions. In...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Genetics. In Exercises 1520, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Sleepwalking. In Exercises 2125, refer to the...Ch. 5.1 - Expected Value for the Ohio Pick 4 Lottery In the...Ch. 5.1 - Expected Value in Virginias Pick 3 Game In...Ch. 5.1 - Expected Value in Roulette When playing roulette...Ch. 5.1 - Expected Value for Life Insurance There is a...Ch. 5.1 - Expected Value for Life Insurance There is a...Ch. 5.2 - Drone Deliveries Based on a Pitney Bowes survey,...Ch. 5.2 - Notation Assume that we want to find the...Ch. 5.2 - Independent Events Based on a Pitney Bowes survey,...Ch. 5.2 - Notation of 0 + Using the same survey from...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Identifying Binomial Distributions. In Exercises...Ch. 5.2 - Binomial Probability Formula. In Exercises 13 and...Ch. 5.2 - News Source Based on data from a Harris...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - SAT Test. In Exercises 1520, assume that random...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - In Exercises 2124, assume that when adults with...Ch. 5.2 - Whitus v. Georgia In the classic legal case of...Ch. 5.2 - Vision Correction A survey sponsored by the Vision...Ch. 5.2 - See You Later Based on a Harris Interactive poll,...Ch. 5.2 - Too Young to Tat Based on a Harris poll, among...Ch. 5.2 - Significance with Range Rule of Thumb. In...Ch. 5.2 - Significance with Range Rule of Thumb. In...Ch. 5.2 - Significance with Range Rule of Thumb. In...Ch. 5.2 - Hybrids Assume that offspring peas are randomly...Ch. 5.2 - Composite Sampling. Exercises 33 and 34 involve...Ch. 5.2 - Anemia Based on data from Bloodjournal.org, 10% of...Ch. 5.2 - Acceptance Sampling. Exercises 35 and 36 involve...Ch. 5.2 - AAA Batteries AAA batteries are made by companies...Ch. 5.2 - MMs Data Set 27 MM Weights in Appendix B includes...Ch. 5.2 - Politics The County Clerk in Essex, New Jersey,...Ch. 5.2 - Perception and Reality In a presidential election,...Ch. 5.2 - Hybrids One of Mendels famous experiments with...Ch. 5.2 - Geometric Distribution If a procedure meets all...Ch. 5.2 - Multinomial Distribution The binomial distribution...Ch. 5.2 - Hypergeometric Distribution If we sample from a...Ch. 5.3 - Notation In analyzing hits by V-1 buzz bombs in...Ch. 5.3 - Tornadoes During a recent 64-year period, New...Ch. 5.3 - Poisson Probability Distribution The random...Ch. 5.3 - Probability if 0 For Formula 5-9, what does P(0)...Ch. 5.3 - Hurricanes. In Exercises 58, assume that the...Ch. 5.3 - Hurricanes a. Find the probability that in a year,...Ch. 5.3 - Hurricanes a. Find the probability that in a year,...Ch. 5.3 - Hurricanes a. Find the probability that in a year,...Ch. 5.3 - In Exercises 916, use the Poisson distribution to...Ch. 5.3 - Murders In a recent year, there were 333 murders...Ch. 5.3 - Radioactive Decay Radioactive atoms are unstable...Ch. 5.3 - Deaths from Horse Kicks A classical example of the...Ch. 5.3 - World War II Bombs In Exercise 1Notation we noted...Ch. 5.3 - Disease Cluster Neuroblastoma, a rare form of...Ch. 5.3 - Car Fatalities The recent rate of car fatalities...Ch. 5.3 - Checks In a recent year, the author wrote 181...Ch. 5.3 - Powerball: Poisson Approximation to Binomial There...Ch. 5 - Is a probability distribution defined if the only...Ch. 5 - There are 80 questions from an SAT test, and they...Ch. 5 - Are the values Found in Exercise 2 statistics or...Ch. 5 - Using the same SAT questions described in Exercise...Ch. 5 - Using the same SAT questions described in Exercise...Ch. 5 - In Exercises 610, use the following: Five American...Ch. 5 - In Exercises 610, use the following: Five American...Ch. 5 - Based on the table, the standard deviation is 0.9...Ch. 5 - 9. What does the probability of 0+ indicate? Does...Ch. 5 - In Exercises 6-10, use the following: Five...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - In Exercises 15, assume that 74% of randomly...Ch. 5 - Security Survey In a USA Today poll, subjects were...Ch. 5 - Brand Recognition In a study of brand recognition...Ch. 5 - Family/Partner Groups of people aged 1565 are...Ch. 5 - Detecting Fraud The Brooklyn District Attorneys...Ch. 5 - Poisson: Deaths Currently, an average of 7...Ch. 5 - Planets The planets of the solar system have the...Ch. 5 - South Carolina Pick 3 In South Carolinas Pick 3...Ch. 5 - Tennis Challenge In a recent U.S. Open tennis...Ch. 5 - Job Applicants The Society for Human Resource...Ch. 5 - Bar Graph Fox News broadcast a graph similar to...Ch. 5 - Washing Hands Based on results from a Bradley...Ch. 5 - Overbooking Flights American Airlines Flight 171...Ch. 5 - Critical Thinking: Did Mendels results from plant...
Additional Math Textbook Solutions
Find more solutions based on key concepts
8. Effect of Blinding Among 13,200 submitted abstracts that were blindly evaluated (with authors and institutio...
Elementary Statistics
Matching In Exercises 17–20, match the level of confidence c with the appropriate confidence interval. Assume e...
Elementary Statistics: Picturing the World (7th Edition)
Choose your test Use the test of your choice to determine whether the following series converge. 49. k=31lnk
Calculus: Early Transcendentals (2nd Edition)
Whether 22 is prime or composite number.
Pre-Algebra Student Edition
Fill in each blanks so that the resulting statement is true. Any set of ordered pairs is called a/an _______. T...
College Algebra (7th Edition)
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
- In a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience. a. Is this a binomial experiment? Why or why not? What is the probability that in a random sample of 2, no one has been abroad? b. What is the probability that in a random sample of 2, at least one has been abroad?arrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forwardTo help consumers in purchasing a laptop computer, Consumer Reports calculates an overall test score for each computer tested based upon rating factors such as ergonomics, portability, performance, display, and battery life. Higher overall scores indicate better test results. The following data show the average retail price and the overall score for ten 13-inch models (Consumer Reports website, October 25, 2012). Brand & Model Price ($) Overall Score Samsung Ultrabook NP900X3C-A01US 1250 83 Apple MacBook Air MC965LL/A 1300 83 Apple MacBook Air MD231LL/A 1200 82 HP ENVY 13-2050nr Spectre XT 950 79 Sony VAIO SVS13112FXB 800 77 Acer Aspire S5-391-9880 Ultrabook 1200 74 Apple MacBook Pro MD101LL/A 1200 74 Apple MacBook Pro MD313LL/A 1000 73 Dell Inspiron I13Z-6591SLV 700 67 Samsung NP535U3C-A01US 600 63 a. Select a scatter diagram with price as the independent variable. b. What does the scatter diagram developed in part (a) indicate about the relationship…arrow_forward
- To the Internal Revenue Service, the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1000s) Reasonable Amount ofItemized Deductions ($1000s) 22 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 17.7 120 25.5 Compute b1 and b0 (to 4 decimals).b1 b0 Complete the estimated regression equation (to 2 decimals). = + x Predict a reasonable level of total itemized deductions for a taxpayer with an adjusted gross income of $52.5 thousand (to 2 decimals). thousand dollarsWhat is the value, in dollars, of…arrow_forwardK The mean height of women in a country (ages 20-29) is 63.7 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ = 2.68. The probability that the mean height for the sample is greater than 64 inches is (Round to four decimal places as needed.)arrow_forwardIn a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 68 inches. The probability that the study participant selected at random is less than 68 inches tall is 0.4. (Round to four decimal places as needed.) 20 2arrow_forward
- PEER REPLY 1: Choose a classmate's Main Post and review their decision making process. 1. Choose a risk level for each of the states of nature (assign a probability value to each). 2. Explain why each risk level is chosen. 3. Which alternative do you believe would be the best based on the maximum EMV? 4. Do you feel determining the expected value with perfect information (EVWPI) is worthwhile in this situation? Why or why not?arrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forwardYou are provided with data that includes all 50 states of the United States. Your task is to draw a sample of: o 20 States using Random Sampling (2 points: 1 for random number generation; 1 for random sample) o 10 States using Systematic Sampling (4 points: 1 for random numbers generation; 1 for random sample different from the previous answer; 1 for correct K value calculation table; 1 for correct sample drawn by using systematic sampling) (For systematic sampling, do not use the original data directly. Instead, first randomize the data, and then use the randomized dataset to draw your sample. Furthermore, do not use the random list previously generated, instead, generate a new random sample for this part. For more details, please see the snapshot provided at the end.) Upload a Microsoft Excel file with two separate sheets. One sheet provides random sampling while the other provides systematic sampling. Excel snapshots that can help you in organizing columns are provided on the next…arrow_forward
- The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n = 65, find the probability of a sample mean being greater than 225 if μ = 224 and σ = 3.5. For a sample of n = 65, the probability of a sample mean being greater than 225 if μ=224 and σ = 3.5 is 0.0102 (Round to four decimal places as needed.)arrow_forward***Please do not just simply copy and paste the other solution for this problem posted on bartleby as that solution does not have all of the parts completed for this problem. Please answer this I will leave a like on the problem. The data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharingarrow_forwardThe data needed to answer this question is given in the following link (file is on view only so if you would like to make a copy to make it easier for yourself feel free to do so) https://docs.google.com/spreadsheets/d/1aV5rsxdNjHnkeTkm5VqHzBXZgW-Ptbs3vqwk0SYiQPo/edit?usp=sharingarrow_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
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
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