Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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Chapter 5, Problem 5.78CE
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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.
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.)
Chapter 5 Solutions
Introduction to Business Statistics
Ch. 5.2 - The president of a computer manufacturing firm...Ch. 5.2 - Prob. 5.2ECh. 5.2 - Prob. 5.3ECh. 5.2 - Prob. 5.4ECh. 5.2 - Regarding Exercise 5.4, how might an observer...Ch. 5.2 - Prob. 5.6ECh. 5.2 - Prob. 5.7ECh. 5.2 - Prob. 5.8ECh. 5.2 - If the odds are 4:7 that an event will occur, what...Ch. 5.3 - A sample space includes the events A. B. and C....
Ch. 5.3 - A sample space includes the events A, B, and C....Ch. 5.3 - The following contingency table of frequencies is...Ch. 5.3 - Using the table in Exercise 5.12, how many victims...Ch. 5.3 - Using the table in Exercise 5.12, what is the...Ch. 5.3 - Prob. 5.15ECh. 5.3 - Using the table in Exercise 5.15, assume that one...Ch. 5.3 - The owner of a McDonald’s restaurant in France is...Ch. 5.3 - Prob. 5.18ECh. 5.3 - According to data from the U.S. Energy Information...Ch. 5.3 - There are 100 males and 120 females in the...Ch. 5.4 - A financial advisor frequently holds investment...Ch. 5.4 - A survey of employees at a large company found the...Ch. 5.4 - In 2008, McDonald’s had 31,967 restaurants...Ch. 5.4 - For three mutually exclusive events...Ch. 5.4 - It has been reported that the 49,600 employees of...Ch. 5.4 - In 2003, Intergy Corporation had 2,631,752...Ch. 5.4 - According to the Bureau of Labor Statistics, there...Ch. 5.4 - Using the information presented in the table in...Ch. 5.4 - Using the infomation presented in the table in...Ch. 5.5 - What is the difference between a marginal...Ch. 5.5 - Prob. 5.31ECh. 5.5 - Prob. 5.32ECh. 5.5 - It has been reported that 57% of U.S. households...Ch. 5.5 - A fair coin is tossed three times. What is the...Ch. 5.5 - A kitchen appliance has 16 working parts, each of...Ch. 5.5 - An optometry practitioner group has found that...Ch. 5.5 - Through April 30 of the 2009 filing season, 15.8%...Ch. 5.5 - Of employed U.S. adults age 25 or older, 90.4%...Ch. 5.5 - A taxi company in a small town has two cabs. Cab A...Ch. 5.5 - Using the table in Exercise 5.12, calculate the...Ch. 5.5 - Charlie has read a survey result that says 60% of...Ch. 5.5 - Prob. 5.42ECh. 5.5 - Based on the information in Exercise 5.21, if the...Ch. 5.5 - Based on the information in Exercise 5.22, if a...Ch. 5.6 - For U.S. live births, P(boy) and P(girl) are...Ch. 5.6 - Using the information in Exercise 5.45, assume...Ch. 5.6 - A magician has two coins: One is unbalanced and...Ch. 5.6 - For the information provided in Exercise 5.39, the...Ch. 5.6 - Machine A produce 3% defectives, machine B produce...Ch. 5.7 - A tax accountant has three choices for the method...Ch. 5.7 - A committee consists of eight members, each of...Ch. 5.7 - Ten prominent citizens have been nominated for a...Ch. 5.7 - Prob. 5.53ECh. 5.7 - A state’s license plate has 6 positions, each of...Ch. 5.7 - When we are considering n objects taken r at a...Ch. 5.7 - An investment counselor would like to meet with 12...Ch. 5.7 - Flow many different combinations are possible if 6...Ch. 5.7 - A roadside museum has 25 exhibits but enough space...Ch. 5.7 - A sales representative has 35 customers throughout...Ch. 5 - It has been estimated that the odds of being...Ch. 5 - A fast-food chain gives each customer a coupon,...Ch. 5 - For the situation in Exercise 5.61, what is the...Ch. 5 - The “daily number” of a state lottery is a 3-digit...Ch. 5 - The U.S. Bureau of Justice released the following...Ch. 5 - For the three perpetrators in Exercise 5.64,...Ch. 5 - Dave has been arrested for arson and has been...Ch. 5 - A firm has two computer systems available for...Ch. 5 - An industrial hoist is being used in an emergency...Ch. 5 - The following relative frequency distribution...Ch. 5 - Collecting data on traffic accident fatalities,...Ch. 5 - During fiscal 1995, Ashland Exploration drilled 7...Ch. 5 - Avis, Inc., has reported that its fleet consists...Ch. 5 - Data from the Federal Bureau of Investigation show...Ch. 5 - Of the participants in a corporate meeting. 20%...Ch. 5 - Of the adults in Jefferson Count, 10% have had CPR...Ch. 5 - Over the years, a realtor estimates that 50% of...Ch. 5 - Prob. 5.77CECh. 5 - Prob. 5.78CECh. 5 - When a machine is properly calibrated, 0.5% of its...Ch. 5 - In examining borrower characteristics versus loan...Ch. 5 - Prob. 5.81CECh. 5 - A corporate board of directors consisting of 15...Ch. 5 - Prob. 5.83CECh. 5 - A test to compare the taste of 6 soft drinks is...Ch. 5 - A certain brand of bicycle lock requires that each...
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