Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Textbook Question
Chapter 6, Problem 40P
Repeat problem P6-3 if
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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.
The numbered disks shown are placed in a box and one disk is selected at
random. Find the probability of selecting a 4, given that a green disk is selected.
Find the probability of selecting a 4, given that a green disk is selected.
(Type an integer or a simplified fraction.)
green
blue
green green
green
blue
green
blue
The table shows the distribution, by age, of a random sample of 3160 moviegoers ages 12-74. If one
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that the moviegoer is not in the 65-74 age range.
The probability is
(Type an integer or a simplified fraction.)
Age Distribution of Moviegoers
Ages
Number
12-24
1090
25-44
860
45-64
890
65-74
320
Chapter 6 Solutions
Introductory Mathematics for Engineering Applications
Ch. 6 - The tip of a one-link robot is located at =0 at...Ch. 6 - The tip of a one-link robot is located at =/6rad...Ch. 6 - The tip of a one-link robot is located at =/4rad...Ch. 6 - The tip of a one-link robot is located at =/2rad...Ch. 6 - The tip of a one-link robot is located at =3/4rad...Ch. 6 - The tip of a one-link robot is located at =rad at...Ch. 6 - A spring-mass system moving in the y-direction has...Ch. 6 - A spring-mass system moving in the x-direction has...Ch. 6 - Repeat problem P6-8 for the sinusoidal motion...Ch. 6 - Repeat problem P6-8 for the sinusoidal motion...
Ch. 6 - A spring-mass system is displaced x=10 cm and let...Ch. 6 - Suppose the spring-mass system of problem P6-11 is...Ch. 6 - Figure P.13 A spring-mass system for problem...Ch. 6 - The position of a spring-mass system shown in Fig....Ch. 6 - The position of a spring-mass system shown in Fig....Ch. 6 - A simple pendulum of length L=100 cm is shown in...Ch. 6 - Repeat problem P6-16 if L=10 in, and...Ch. 6 - A sinusoidal current i(t)=0.1sin(100t) amps is...Ch. 6 - A sinusoidal current i(t)=200cos(120t+14.86) mA is...Ch. 6 - A series RL circuit is subjected to a sinusoidal...Ch. 6 - A series RL circuit is subjected to a sinusoidal...Ch. 6 - A sinusoidal voltage (t)=10sin(1000t)V is applied...Ch. 6 - A parallel RL circuit is subjected to a sinusoidal...Ch. 6 - A parallel RL circuit is subjected to a sinusoidal...Ch. 6 - Consider the RC circuit shown in Fig. P6.25, where...Ch. 6 - Consider the RC circuit shown in Fig.P6.25, where...Ch. 6 - Two voltages 1(t)=10sin(100t45)V and...Ch. 6 - Repeat problem P6-27 if 1(t)=10cos(100t+90)V and...Ch. 6 - Two voltages 1(t)=102sin(500t34)V and...Ch. 6 - A pair of springs and masses vibrate under simple...Ch. 6 - Suppose the positions of the masses in problem...Ch. 6 - Two oscillating masses are connected by a spring...Ch. 6 - Now assume that the positions of two masses in...Ch. 6 - A manufacturing plant employs a heater and a...Ch. 6 - Repeat problem P6-34 if H(t)=100sin(120t)V and...Ch. 6 - In the three-phase circuit shown in Fig.P.36....Ch. 6 - In the three-phase circuit shown in Fig.P.36....Ch. 6 - In the three-phase circuit shown in Fig.P.36....Ch. 6 - The Hip implant shown in Fig. P6.39 is subjected...Ch. 6 - Repeat problem P6-3 if F(t)=15sin(10t)+75N.
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