Business Analytics
3rd Edition
ISBN: 9780135231678
Author: Evans, James R. (james Robert)
Publisher: PEARSON EDUCATION (COLLEGE)
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Chapter 4, Problem 5.1CYU
Explain the difference between a population and a sample.
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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.
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?
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.
Chapter 4 Solutions
Business Analytics
Ch. 4 - Explain the science of statistics.Ch. 4 - What is a metric? How does it differ from a...Ch. 4 - Explain the difference between a discrete and a...Ch. 4 - Describe the four types of measurement scales and...Ch. 4 - What is a frequency distribution?Ch. 4 - Explain how to calculate a relative frequency.Ch. 4 - State how to use Excel for constructing frequency...Ch. 4 - State the features and limitations of the Excel...Ch. 4 - What does an ogive display?Ch. 4 - Prob. 2.6CYU
Ch. 4 - Prob. 3.1CYUCh. 4 - Prob. 3.2CYUCh. 4 - Prob. 3.3CYUCh. 4 - What is a cross-tabulation?Ch. 4 - Prob. 4.2CYUCh. 4 - Explain the difference between a population and a...Ch. 4 - List and explain the common measures of location...Ch. 4 - Prob. 5.3CYUCh. 4 - Prob. 5.4CYUCh. 4 - Prob. 5.5CYUCh. 4 - Prob. 5.6CYUCh. 4 - Prob. 5.7CYUCh. 4 - Prob. 5.8CYUCh. 4 - Prob. 6.1CYUCh. 4 - Use Excel to find the mean and variance for the...Ch. 4 - Prob. 7.1CYUCh. 4 - Prob. 7.2CYUCh. 4 - Prob. 8.1CYUCh. 4 - Prob. 8.2CYUCh. 4 - Prob. 9.1CYUCh. 4 - Prob. 9.2CYUCh. 4 - Prob. 9.3CYUCh. 4 - What rules are typically used to identify...Ch. 4 - Prob. 10.2CYUCh. 4 - Summarize statistical tools that are typically...Ch. 4 - Prob. 11.2CYUCh. 4 - What are the principles of statistical thinking?Ch. 4 - Prob. 12.2CYUCh. 4 - Prob. 12.3CYUCh. 4 - A survey handed out to individuals at a major...Ch. 4 - Prob. 1.2PECh. 4 - Identify each of the variables in the Excel file...Ch. 4 - Prob. 1.4PECh. 4 - Prob. 1.5PECh. 4 - Prob. 1.6PECh. 4 - Prob. 1.7PECh. 4 - Prob. 1.8PECh. 4 - Prob. 1.9PECh. 4 - Prob. 1.10PECh. 4 - Prob. 1.11PECh. 4 - Prob. 1.12PECh. 4 - Use a PivotTable to construct a frequency...Ch. 4 - Prob. 1.14PECh. 4 - Prob. 1.15PECh. 4 - Prob. 1.16PECh. 4 - Prob. 1.17PECh. 4 - Prob. 1.18PECh. 4 - Prob. 1.19PECh. 4 - Prob. 1.20PECh. 4 - Use a PivotTable to construct a cross-tabulation...Ch. 4 - Use PivotTables to construct cross-tabulations for...Ch. 4 - Prob. 1.23PECh. 4 - Prob. 1.24PECh. 4 - Prob. 1.25PECh. 4 - Compute the mean, median, midrange, and mode for...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - Considering the data in the Excel file Home Market...Ch. 4 - In the Excel file Facebook Survey, find the range,...Ch. 4 - Prob. 1.30PECh. 4 - For the Excel file Tablet Computer Sales, find the...Ch. 4 - The Excel file Atlanta Airline Data provides...Ch. 4 - Prob. 1.33PECh. 4 - Prob. 1.34PECh. 4 - Apply the Descriptive Statistics tool for subsets...Ch. 4 - Use the Descriptive Statistics tool to summarize...Ch. 4 - Prob. 1.38PECh. 4 - The Data worksheet in the Excel file Airport...Ch. 4 - Prob. 1.40PECh. 4 - Prob. 1.41PECh. 4 - Prob. 1.42PECh. 4 - Prob. 1.43PECh. 4 - Prob. 1.44PECh. 4 - Prob. 1.45PECh. 4 - Prob. 1.46PECh. 4 - Prob. 1.47PECh. 4 - Prob. 1.48PECh. 4 - Prob. 1.49PECh. 4 - Prob. 1.50PECh. 4 - Prob. 1.51PECh. 4 - Prob. 1.52PECh. 4 - Prob. 1.53PECh. 4 - In the Excel file Debt and Retirement Savings, use...Ch. 4 - Prob. 1.55PECh. 4 - Prob. 1.56PECh. 4 - Prob. 1.57PECh. 4 - Prob. 1.58PECh. 4 - Prob. 1.59PECh. 4 - In the Excel file Weddings, determine the...Ch. 4 - Prob. 1.61PECh. 4 - The Excel file Beverage Sales lists a sample of...Ch. 4 - For the Presidents Inn Guest Database, find the...Ch. 4 - Prob. 1.64PECh. 4 - For the Excel file Credit Risk Data, compute the...Ch. 4 - Compute the z-scores for the data in the Excel...Ch. 4 - Prob. 1.67PECh. 4 - In the Excel file Weddings, find the mean, median,...Ch. 4 - Use the following approaches to analyze the survey...Ch. 4 - Prob. 1.70PECh. 4 - A producer of computer-aided design software for...Ch. 4 - Prob. 1.72PECh. 4 - Prob. 1.73PECh. 4 - A Midwest pharmaceutical company manufactures...Ch. 4 - Find the mean and variance of a deck of 52 cards,...Ch. 4 - Elizabeth Burke has received several questions...
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