RMI 3750
Fall 2013
Problem Set #1
Due on 9/18/2013.
Please show enough work for me to verify that you worked through the problem. For
example, if the solution using permutations / combinations techniques is 3!/5!, dont just
write down as a result 0.05. In
RMI 3750
Answer Key Problem Set 1
Please show enough work for me to verify that you worked through the problem (e.g., if I
ask for a probability, dont just write down a number. For example, if the solution of
counting for probability exercise, using permu
RMI 3750
Fall, 2013
Problem Set #3
Due Wednesday, 11/06/2013. If you use Microsoft Excel to answer a problem, show
enough work (e.g., describe the math of what you are doing) to allow me to award partial
credit in case you get it wrong. USE THE SPACE PROV
RMI 3750 :Problem Set 2, due 10/2
1. Two jars contain coins. Jar I contains 7 pennies, 6 nickels and 8 dimes.
Jar II contains 5 pennies, 3 nickels and 1 dime. A jar is selected at random
and a coin is selected from that jar. If the coin is a nickel, what
Risk Modeling
RMI 3750, Summer 2013
Solution of Assignment 3
1. The probability function of X is
0.5, x = 0
0.1, x = 1
0.2, x = 2
p(x) =
0.1, x = 3
0.1, x = 3.5.
Hence, its expected value is
E[X] = 0.5 0 + 0.1 1 + 0.2 2 + 0.1 3 + 0.1 3.5 = 1.15.
2.
(a
Risk Modeling
RMI 3750, Summer 2013
Solution of Assignment 1
1. The percentage of insurers that have more than one car and insure an American car is 0.150.7 =
0.105. Then, the Venn diagram for this problem is (in percentages):
0.595
One car
0.205
0.095
0.
Risk Modeling
RMI 3750, Summer 2013
Solution of Assignment 2
1. Consider the events:
A = cfw_occurrence of emergency room charges
B = cfw_occurrence of operating room charges.
0.15
A
0.1
B
Then, we have that P(A B) = 0.85, P(A) = 0.25, and P(A B) = P(A) P
RMI 3750 Fall 2016
Georgia State University
Homework #4
Date due: Sep 19, 2016
Question 1
Answer the following end of chapter questions from the HS textbook. Write out your answers, clearly
showing the steps taken to get to your answer.
Chapter 5: 5.1, 5.
RMI 3750 - Fall 2016
Georgia State University
Data set for Homework # 3
The data herein contain severity of claim amount information on policyholders of an insurer
that suffered losses during the past year. The insurer has 10,000 policyholders. You
can as
RMI 3750
3. Elements of
Probability
Outline
3. Elements of Probability
Jiamin Ng
Office: 1145, RCB Building
RMI Department
Georgia State University
contact: jng4@gsu.edu
Probability when
Outcomes are
Equally Likely
Definition
Matching the
Counting Rules t
Total Law of Probability and Bayes theorem.
Independence. Introduction to Simulation
Florin Bidian
1
January 26, 2016
1
RMI, Georgia State University
Florin Bidian : Total Law of Probability and Bayes theorem. Independence. Introduction to Simulation
Prev
A Collection of Dice Problems
with solutions and useful appendices
(a work continually in progress)
version October 6, 2015
Matthew M. Conroy
doctormatt at madandmoonly dot com
www.matthewconroy.com
A Collection of Dice Problems
Matthew M. Conroy
Thanks
A
Random Variables. Measures of central tendency
and dispersion. Uniform and Binomial
distributions.
Florin Bidian
1
February 2, 2016
1
RMI, Georgia State University
Florin Bidian : Random Variables. Measures of central tendency and dispersion. Uniform and
Introduction
Probabilistic and set theoretic notation
Introduction to Probability
Florin Bidian
1
September 12, 2016
1
RMI, Georgia State University
Florin Bidian : Introduction to Probability
Counting rules
Introduction
Probabilistic and set theoretic no
Review questions for Final Exam. The following questions are for the materials after Exam 2. Also use
the review questions for Exam 1 and 2.
( {a}.
1. For the following joint distributions, derive the marginal distributions, conditional distributions,
Counting rules
Lecture 3: Counting rules
Florin Bidian
1
September 4, 2013
1
RMI, Georgia State University
Florin Bidian : Lecture 3: Counting rules
Counting rules
Permutations P (n) of n objects
Represents the number of ordered arrangements (when order
m
Lecture 17: ExcelApplications: Generating data
from a given distribution and QQ-plots.
Florin Bidian
1
October 28, 2013
1
RMI, Georgia State University
Florin Bidian : Lecture 17: ExcelApplications: Generating data from a given distribution and QQ-plots.
Lecture 14: Exponential distribution
Florin Bidian
1
October 14, 2013
Text
1
RMI, Georgia State University
Florin Bidian : Lecture 14: Exponential distribution
Previous class - taking stock
I
Continuous distributions
I
Uniform (continuous) distribution
Fl
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FALL SEMESTER 2013 CO
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Lecture 15: Gamma, Beta and Normal
Distribution
Florin Bidian
1
October 21, 2013
1
RMI, Georgia State University
Florin Bidian : Lecture 15: Gamma, Beta and Normal Distribution
Previous class - taking stock
Exponential distribution and connection to Poiss