Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134506470
Author: Pirnot
Publisher: PEARSON
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Chapter 14.1, Problem 25E
To determine
To find:
The graph(s) from the four graphs of student volunteers which enables to determine the years in which there were more women than men volunteers.
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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 14 Solutions
Mathematics All Around (6th Edition)
Ch. 14.1 - Sharpening Your Skills. In Exercises 1 and 2,...Ch. 14.1 - Sharpening Your Skills. In Exercises 1 and 2,...Ch. 14.1 - Sharpening Your Skills. In Exercises 3 and 4,...Ch. 14.1 - Sharpening Your Skills. In Exercises 3 and 4,...Ch. 14.1 - Sharpening Your Skills. In Exercises 5 and 6,...Ch. 14.1 - Sharpening Your Skills. In Exercises 5 and 6,...Ch. 14.1 - Prob. 7ECh. 14.1 - Sharpening Your Skills. In Exercises 7 and 8,...Ch. 14.1 - Prob. 9ECh. 14.1 - Sharpening Your Skills. In Exercises 9 and 10,...
Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Applying What Youve Learned. Customers at...Ch. 14.1 - Applying What Youve Learned. Scheduling a rec...Ch. 14.1 - Applying What Youve Learned. Data similar to that...Ch. 14.1 - Applying What Youve Learned. Data similar to that...Ch. 14.1 - Comparing wage data. The following bar graphs...Ch. 14.1 - Applying What Youve Lerarned. Comparing wage data....Ch. 14.1 - Applying What Youve Learned. Comparing wage data....Ch. 14.1 - Applying What Youve Learned. Comparing wage data....Ch. 14.1 - Applying What Youve Learned. Comparing wage data....Ch. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - For Exercises 23 26, use the four graphs of the...Ch. 14.1 - Applying What Youve Learned. Comparing training...Ch. 14.1 - Applying What Youve Learned. Comparing weight-loss...Ch. 14.1 - Applying What Youve Learned. Super Bowl scores....Ch. 14.1 - Applying What Youve Learned. Law School Aptitude...Ch. 14.1 - In Exercises 31 34, first group the data using an...Ch. 14.1 - Applying What Youve Learned. In Exercises 31 34,...Ch. 14.1 - In Exercises 31 34, first group the data using an...Ch. 14.1 - Applying What Youve Learned. In Exercises 31 34,...Ch. 14.1 - Communicating Mathematics What is the difference...Ch. 14.1 - Communicating Mathematics If you are using a bar...Ch. 14.1 - Communicating Mathematics What is the difference...Ch. 14.1 - Communicating Mathematics What do you see as an...Ch. 14.1 - Challenge Yourself How might you present three...Ch. 14.1 - Challenge Yourself 42. The following table is an...Ch. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Sharpening Your Skills Find the mean, median, and...Ch. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - In Exercises 1720, a give the five-number summary...Ch. 14.2 - Prob. 18ECh. 14.2 - In Exercises 1720, a give the five-number summary...Ch. 14.2 - In Exercises 1720, a give the five-number summary...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - In Exercises 2128, find the mean, median, and mode...Ch. 14.2 - Many colleges assign numerical points to grades as...Ch. 14.2 - Prob. 30ECh. 14.2 - Exam scores. Izzy had an 84 and an 86 on his first...Ch. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Exam scores. Assume that in your History of Film...Ch. 14.2 - Prob. 36ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Prob. 39ECh. 14.2 - Example 6 Using Stem-and-Leaf Home Run Records...Ch. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Prob. 43ECh. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.2 - Prob. 47ECh. 14.2 - A college placement office has made a comparative...Ch. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - Give three separate real-life examples in which...Ch. 14.2 - Which measure of central tendency do you think is...Ch. 14.2 - Manipulating data. Choose some set of data...Ch. 14.2 - Analyzing misleading graphs. Find a graph in the...Ch. 14.2 - Prob. 55ECh. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - Prob. 60ECh. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Sharpening Your Skills Find the range, mean, and...Ch. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Prob. 19ECh. 14.3 - Applying What Youve Learned Summarizing age data....Ch. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - In Exercises 31 and 32, we present information on...Ch. 14.3 - In Exercises 31 and 32, we present information on...Ch. 14.3 - Human resources. As the manager of the human...Ch. 14.3 - Prob. 34ECh. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Laptop batteries. A particular brand of laptop was...Ch. 14.3 - Study times. A group of students were sampled with...Ch. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - Use the following graphs for Exercise 44 a. Which...Ch. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 1 6 has...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Assume that the distribution in Exercises 7 12...Ch. 14.4 - Use the following graph of the standard normal...Ch. 14.4 - Use the following graph of the standard normal...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 24ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 28ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 30ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 32ECh. 14.4 - Use Table 14.19 to find the percent of the area...Ch. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - In Exercises 35 - 40, we give you a mean, a...Ch. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - In Exercises 41 - 46, we give you a mean, a...Ch. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - Prob. 53ECh. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 56ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14.4 - Prob. 59ECh. 14.4 - Prob. 60ECh. 14.4 - Prob. 61ECh. 14.4 - Prob. 62ECh. 14.4 - Prob. 63ECh. 14.4 - Weight lifting.In a power lifting competition the...Ch. 14.4 - Strength of cables.A certain type of cable has a...Ch. 14.4 - Prob. 66ECh. 14.4 - Prob. 67ECh. 14.4 - Prob. 68ECh. 14.4 - Prob. 69ECh. 14.4 - Prob. 70ECh. 14.4 - Prob. 71ECh. 14.4 - Prob. 72ECh. 14.4 - Prob. 73ECh. 14.4 - Prob. 74ECh. 14.4 - Analyzing the SATs. Assume that the math SAT...Ch. 14.4 - Prob. 76ECh. 14.4 - Prob. 77ECh. 14.4 - Prob. 78ECh. 14.4 - Prob. 79ECh. 14.4 - Prob. 80ECh. 14.4 - Prob. 81ECh. 14.4 - Prob. 82ECh. 14.4 - Prob. 83ECh. 14.4 - Prob. 84ECh. 14.4 - Prob. 85ECh. 14.4 - Prob. 86ECh. 14.4 - If a distribution has a mean of 40 and a standard...Ch. 14.4 - Prob. 88ECh. 14.4 - Prob. 89ECh. 14.4 - Prob. 90ECh. 14.5 - In Exercises 1 and 2, state what kind of...Ch. 14.5 - In Exercises 1 and 2, state what kind of...Ch. 14.5 - For Exercises 3 6, do the following: a. Plot the...Ch. 14.5 - Prob. 4ECh. 14.5 - Prob. 5ECh. 14.5 - Prob. 6ECh. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - In Exercises 11 14, find the line of best fit for...Ch. 14.5 - Prob. 14ECh. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - Prob. 17ECh. 14.5 - Prob. 18ECh. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Exercises 19 22, find the line of best fit for...Ch. 14.5 - In Example 3, we found the absolute value of the...Ch. 14.5 - Prob. 24ECh. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.CR - Prob. 1CRCh. 14.CR - Prob. 2CRCh. 14.CR - Prob. 3CRCh. 14.CR - Prob. 4CRCh. 14.CR - The lists represent the ages of actors M and...Ch. 14.CR - Prob. 6CRCh. 14.CR - Prob. 7CRCh. 14.CR - Prob. 8CRCh. 14.CR - Prob. 9CRCh. 14.CR - Prob. 10CRCh. 14.CR - Prob. 11CRCh. 14.CR - Prob. 12CRCh. 14.CR - Prob. 13CRCh. 14.CR - Prob. 14CRCh. 14.CR - Prob. 15CRCh. 14.CR - Prob. 16CRCh. 14.CR - Prob. 17CRCh. 14.CR - State what kind of correlation, if any, is...Ch. 14.CR - Prob. 19CRCh. 14.CT - Prob. 1CTCh. 14.CT - Prob. 2CTCh. 14.CT - Prob. 3CTCh. 14.CT - Prob. 4CTCh. 14.CT - Prob. 5CTCh. 14.CT - Prob. 6CTCh. 14.CT - Prob. 7CTCh. 14.CT - Prob. 8CTCh. 14.CT - Prob. 9CTCh. 14.CT - Prob. 10CTCh. 14.CT - Prob. 11CTCh. 14.CT - Prob. 12CTCh. 14.CT - Prob. 13CTCh. 14.CT - Prob. 14CTCh. 14.CT - Prob. 15CTCh. 14.CT - Prob. 16CTCh. 14.CT - Prob. 17CTCh. 14.CT - Prob. 18CT
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