Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Chapter 8, Problem 36RE
To determine
The correct check digit for the given UPC.
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Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate
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on r?
Row 1
Row 2
13
149
25
36
41
60
62
78
S
205
122
195
173
133
197
24
Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.
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S
24
The number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in
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455 679 499 496 378 68
157
58 200
17,942|29,215 43,338 30,221 67,266 67,461 22,066 11,190 30,707| 27,569
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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 8 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 8.1 - Determine the day of the week on which you were...Ch. 8.1 - Determine the day of the week on which Abraham...Ch. 8.1 - Determine the day of the week on which January 1,...Ch. 8.1 - Determine the day of the week on which Valentines...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Prob. 4ESCh. 8.1 - Prob. 5ESCh. 8.1 - Prob. 6ES
Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Prob. 8ESCh. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Prob. 10ESCh. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Prob. 14ESCh. 8.1 - Evaluate each expression, where and indicate...Ch. 8.1 - Prob. 16ESCh. 8.1 - Military Time. Evaluate each expression, where +...Ch. 8.1 - Military Time. Evaluate each expression, where +...Ch. 8.1 - Military Time. Evaluate each expression, where +...Ch. 8.1 - Military Time. Evaluate each expression, where +...Ch. 8.1 - Military Time. Evaluate each expression, where +...Ch. 8.1 - Prob. 22ESCh. 8.1 - Prob. 23ESCh. 8.1 - Military Time. Evaluate each expression, where +...Ch. 8.1 - Evaluate each expression, where + and indicate...Ch. 8.1 - Prob. 26ESCh. 8.1 - Evaluate each expression, where + and indicate...Ch. 8.1 - Prob. 28ESCh. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Prob. 32ESCh. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Determine whether the congruence is true or false....Ch. 8.1 - Prob. 38ESCh. 8.1 - List five different natural numbers that are...Ch. 8.1 - List five different natural numbers that are...Ch. 8.1 - Perform the modular arithmetic. (9+15)mod7Ch. 8.1 - Prob. 42ESCh. 8.1 - Perform the modular arithmetic. (5+22)mod8Ch. 8.1 - Prob. 44ESCh. 8.1 - Perform the modular arithmetic. (42+35)mod3Ch. 8.1 - Prob. 46ESCh. 8.1 - Perform the modular arithmetic. (37+45)mod12Ch. 8.1 - Prob. 48ESCh. 8.1 - Prob. 49ESCh. 8.1 - Perform the modular arithmetic. (2510)mod4Ch. 8.1 - Prob. 51ESCh. 8.1 - Prob. 52ESCh. 8.1 - Prob. 53ESCh. 8.1 - Prob. 54ESCh. 8.1 - Perform the modular arithmetic. (1532)mod7Ch. 8.1 - Prob. 56ESCh. 8.1 - Perform the modular arithmetic. (68)mod9Ch. 8.1 - Prob. 58ESCh. 8.1 - Prob. 59ESCh. 8.1 - Prob. 60ESCh. 8.1 - Perform the modular arithmetic. (1418)mod5Ch. 8.1 - Prob. 62ESCh. 8.1 - Clocks and Calendars. Use modular arithmetic to...Ch. 8.1 - Clocks and Calendars. Use modular arithmetic to...Ch. 8.1 - Clocks and Calendars. Use modular arithmetic to...Ch. 8.1 - Prob. 66ESCh. 8.1 - Clocks and Calendars. Use modular arithmetic to...Ch. 8.1 - Clocks and Calendars. Use modular arithmetic to...Ch. 8.1 - Clocks and Calendars. Use modular arithmetic to...Ch. 8.1 - Clocks and Calendars. Use modular arithmetic to...Ch. 8.1 - Prob. 71ESCh. 8.1 - Prob. 72ESCh. 8.1 - Find all whole number solutions of the congruence...Ch. 8.1 - Find all whole number solutions of the congruence...Ch. 8.1 - Prob. 75ESCh. 8.1 - Prob. 76ESCh. 8.1 - Find all whole number solutions of the congruence...Ch. 8.1 - Find all whole number solutions of the congruence...Ch. 8.1 - Prob. 79ESCh. 8.1 - Prob. 80ESCh. 8.1 - Find all whole number solutions of the congruence...Ch. 8.1 - Find all whole number solutions of the congruence...Ch. 8.1 - Prob. 83ESCh. 8.1 - Find the additive inverse and the multiplicative...Ch. 8.1 - Find the additive inverse and the multiplicative...Ch. 8.1 - Prob. 86ESCh. 8.1 - Find the additive inverse and the multiplicative...Ch. 8.1 - Find the additive inverse and the multiplicative...Ch. 8.1 - Modular division can be performed by considering...Ch. 8.1 - Prob. 90ESCh. 8.1 - Prob. 91ESCh. 8.1 - Prob. 92ESCh. 8.1 - Prob. 93ESCh. 8.1 - Modular division can be performed by considering...Ch. 8.1 - Prob. 95ESCh. 8.1 - Prob. 96ESCh. 8.1 - Prob. 97ESCh. 8.1 - Prob. 98ESCh. 8.1 - Prob. 99ESCh. 8.1 - Many people consider the 13th of the month an...Ch. 8.2 - What is the ciphertext for the word CODE?Ch. 8.2 - Prob. 2EECh. 8.2 - Prob. 3EECh. 8.2 - Prob. 4EECh. 8.2 - Prob. 5EECh. 8.2 - ISBN Numbers. Determine whether the given number...Ch. 8.2 - ISBN Numbers. Determine whether the given number...Ch. 8.2 - Prob. 3ESCh. 8.2 - Prob. 4ESCh. 8.2 - Prob. 5ESCh. 8.2 - ISBN Numbers. Determine whether the given number...Ch. 8.2 - ISBN Numbers. Determine the correct check digit...Ch. 8.2 - ISBN Numbers. Determine the correct check digit...Ch. 8.2 - ISBN Numbers. Determine the correct check digit...Ch. 8.2 - Prob. 10ESCh. 8.2 - ISBN Numbers. Determine the correct check digit...Ch. 8.2 - ISBN Numbers. Determine the correct check digit...Ch. 8.2 - ISBN Numbers. Determine the correct check digit...Ch. 8.2 - ISBN Numbers. Determine the correct check digit...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - UPC Codes. Determine the correct check digit for...Ch. 8.2 - Prob. 23ESCh. 8.2 - Prob. 24ESCh. 8.2 - Money Orders Some money orders have serial numbers...Ch. 8.2 - Money Orders Some money orders have serial numbers...Ch. 8.2 - Air Travel Many printed airline tickets contain a...Ch. 8.2 - Air Travel Many printed airline tickets contain a...Ch. 8.2 - Air Travel Many printed airline tickets contain a...Ch. 8.2 - Prob. 30ESCh. 8.2 - Credit Card Numbers. Determine whether the given...Ch. 8.2 - Credit Card Numbers. Determine whether the given...Ch. 8.2 - Prob. 33ESCh. 8.2 - Credit Card Numbers. Determine whether the given...Ch. 8.2 - Prob. 35ESCh. 8.2 - Credit Card Numbers. Determine whether the given...Ch. 8.2 - Credit Card Numbers. Determine whether the given...Ch. 8.2 - Prob. 38ESCh. 8.2 - Encryption. Encode the message by using a cyclical...Ch. 8.2 - Encryption. Encode the message by using a cyclical...Ch. 8.2 - Encryption. Encode the message by using a cyclical...Ch. 8.2 - Encryption. Encode the message by using a cyclical...Ch. 8.2 - Encryption. Encode the message by using a cyclical...Ch. 8.2 - Encryption. Encode the message by using a cyclical...Ch. 8.2 - Decoding. Use a cyclical alphabetic encrypting...Ch. 8.2 - Decoding. Use a cyclical alphabetic encrypting...Ch. 8.2 - Decoding. Use a cyclical alphabetic encrypting...Ch. 8.2 - Decoding. Use a cyclical alphabetic encrypting...Ch. 8.2 - Decoding, use a cyclical alphabetic encrypting...Ch. 8.2 - Decoding, use a cyclical alphabetic encrypting...Ch. 8.2 - Decoding, use a cyclical alphabetic encrypting...Ch. 8.2 - Decoding, use a cyclical alphabetic encrypting...Ch. 8.2 - Encryption Julius Caesar supposedly used an...Ch. 8.2 - Decoding Julius Caesar supposedly used an...Ch. 8.2 - Encryption Use the encrypting congruence...Ch. 8.2 - Encryption Use the encrypting congruence...Ch. 8.2 - Encryption Use the encrypting congruence...Ch. 8.2 - Encryption Use the encrypting congruence...Ch. 8.2 - Decoding Decode the message LOFT JGMK LBS MNWMK...Ch. 8.2 - Decoding Decode the message BTYW SCRBKN UCYN that...Ch. 8.2 - Prob. 61ESCh. 8.2 - Decoding Decode the message GBBZ OJQBWJ TBR GJHI...Ch. 8.2 - Money Orders Explain why the method used to...Ch. 8.2 - Prob. 64ESCh. 8.2 - Banking. When banks process an electronic funds...Ch. 8.3 - Prob. 1EECh. 8.3 - Prob. 2EECh. 8.3 - Prob. 3EECh. 8.3 - Prob. 4EECh. 8.3 - Prob. 5EECh. 8.3 - Prob. 1ESCh. 8.3 - Prob. 2ESCh. 8.3 - Prob. 3ESCh. 8.3 - Prob. 4ESCh. 8.3 - Prob. 5ESCh. 8.3 - Prob. 6ESCh. 8.3 - Prob. 7ESCh. 8.3 - Prob. 8ESCh. 8.3 - Prob. 9ESCh. 8.3 - Prob. 10ESCh. 8.3 - Prob. 11ESCh. 8.3 - Prob. 12ESCh. 8.3 - Prob. 13ESCh. 8.3 - Prob. 14ESCh. 8.3 - Prob. 15ESCh. 8.3 - Prob. 16ESCh. 8.3 - Prob. 17ESCh. 8.3 - Prob. 18ESCh. 8.3 - Prob. 19ESCh. 8.3 - Prob. 20ESCh. 8.3 - Prob. 21ESCh. 8.3 - Prob. 22ESCh. 8.3 - Prob. 23ESCh. 8.3 - Prob. 24ESCh. 8.3 - Prob. 25ESCh. 8.3 - Prob. 26ESCh. 8.3 - Prob. 27ESCh. 8.3 - Prob. 28ESCh. 8.3 - Prob. 29ESCh. 8.3 - Prob. 30ESCh. 8.3 - Prob. 31ESCh. 8.3 - Prob. 32ESCh. 8.3 - Prob. 33ESCh. 8.3 - Prob. 34ESCh. 8.3 - Refer to the group of permutations of the numbers...Ch. 8.3 - Prob. 36ESCh. 8.3 - Prob. 37ESCh. 8.3 - Prob. 38ESCh. 8.3 - Prob. 39ESCh. 8.3 - Prob. 40ESCh. 8.3 - Prob. 41ESCh. 8.3 - Prob. 42ESCh. 8.3 - Prob. 43ESCh. 8.3 - Prob. 44ESCh. 8.3 - Prob. 45ESCh. 8.3 - Prob. 46ESCh. 8.3 - Prob. 47ESCh. 8.3 - Prob. 48ESCh. 8.3 - Prob. 49ESCh. 8.3 - Prob. 50ESCh. 8.3 - Prob. 51ESCh. 8.3 - Prob. 52ESCh. 8.3 - Prob. 53ESCh. 8.3 - Prob. 54ESCh. 8.3 - Prob. 55ESCh. 8.3 - Consider the set of elements a,b,c,d with the...Ch. 8.3 - Prob. 57ESCh. 8.3 - Prob. 58ESCh. 8.3 - Prob. 59ESCh. 8.3 - Prob. 60ESCh. 8.3 - Prob. 61ESCh. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression, where and indicate...Ch. 8 - Evaluate each expression. Where + and indicate...Ch. 8 - Evaluate each expression. Where + and indicate...Ch. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Clocks and Calendars. Use modular arithmetic to...Ch. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Find all whole number solutions of the congruence...Ch. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - ISBN Numbers. Determine the correct check digit...Ch. 8 - ISBN Numbers. Determine the correct check digit...Ch. 8 - UPC Codes. Determine the correct check digit for...Ch. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Encryption. Encode the message using a cyclical...Ch. 8 - Encryption. Encode the message using a cyclical...Ch. 8 - Encryption. Use a cyclical alphabetic encrypting...Ch. 8 - Prob. 44RECh. 8 - Encryption Use the encrypting congruence...Ch. 8 - Encryption Decode the message WEU LKGGMF NHM NMGN,...Ch. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Use symbolic notation, shown below, for the...Ch. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Evaluate each expression, where and indicate...Ch. 8 - January 1, 2017, was a Sunday. What day of the...Ch. 8 - Determine whether the congruence is true or false....Ch. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Scheduling Disregarding A.M. or P.M., if it is now...Ch. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Find the additive inverse and the multiplicative...Ch. 8 - ISBN Number Determine the correct check digit for...Ch. 8 - UPC Codes Determine the correct check digit for...Ch. 8 - Prob. 13TCh. 8 - Encryption Encrypt the plaintext message REPORT...Ch. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - In the permutation group of the numbers 1 2 3,...Ch. 8 - Prob. 20T
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