MATH 0098 Elementary Algebra
Departmental Outline for MATH 0098
Elementary Algebra
Description: Topics include review of real numbers (order of operations, fractions, decimals, percents, an
1.010 - Brief Notes
9
Point and Interval Estimation of Distribution Parameters
(a) Some Common Distributions in Statistics
.
Chi-square distribution
Let Z1 , Z2 , . . . , Zn be iid standard normal va
1.010 - Brief Notes
6
Second-Moment Characterization of Random Variables and Vectors.
Second-Moment(SM) and First-Order Second-Moment(FOSM)
Propagation of Uncertainty
(a) Random Variables
.
Second-Mo
1.010 - Brief Notes
2
Random Variables: Discrete Distributions
iscrete
istributions
Probability Mass Function (PMF)
P
PX (x) = P (X = x) =
P (O)
all O: X(O)=x
Properties of PMFs
1. 0 PX (x) 1
P
2.
P
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Civil and Environmental Engineering
1.017 Computing and Data Analysis for Environmental Applications
Quiz2
Thursday,November7,2002
Pleaseanswerallqu
1.010 - Brief Notes
8
Selected Distribution Models
The Normal Gaussian) Distribution:
Let X1 , . . . , Xn be independent random variables with common distribution FX (x). The so called
central limit
1.010 - Brief Notes
5
Functions of Random Variables and Vectors
a) Functions of One Random Variable
Problem
Given the CDF of the random variable X, FX (x), and a deterministic function Y = g(x), nd t
1.010 - Brief Notes
3
Random Variables: Continuous Distributions
ontinuous Distributions
Cumulative distribution function (CDF)
FX (x) = P [X x]
P [x < X x2 ] = FX (x2 )
FX (x )
Average probability
Brief Notes #1
Events and Their Probability
Definitions
Experiment: a set of conditions under which some variable is observed
Outcome of an experiment: the result of the observation (a sample point)
Math 0989 Final Exam Review Packet
This study guide provides a good review of most of the topics in the course, but do not use it as your
only review source. Seek help on any problems you cannot solve
\
Written Assignmentllz (Modules 3-4) Name E M E I g l V; E! .S Sectionosm
Please show all work in a neat and orderly fashion in order to receive full credit for each problem.
1. Evaluate the expressi
Written Assignment #3 (Modules 5-7) Name )hleCl 'Pcm Section 0989- O) 8
Please show all work in a neat and orderly fashion in order to receive full credit for each problem.
1. Find the slope passing t
Written Assignment #4 (Modules 8-10) Name V 0a. ECU; Section mas-Q2)
Please show all work in a neat and orderly fashion in order to receive full credit for each problem.
1. Simplify your answers as mu
Written Assignment #1 (Modules 1-2) Name 9 M l K t I 2Q Section 098$ng
Please show all work in a neat and orderly fashion in order to receive full credit for each problem.
1. Evaluate 24 : [9 * (20 18
Study Strategies/ Scheduling
I am incorporating a lot of what I learned from the GOML assessment into my new study
habits. I learned that I need to prioritize my time better. Set exact times where I a
1.010 - Brief Notes #4
Random Vectors
A set of 2 or more random variables constitutes a random vector. For example, a random
X
vector with two components, X = 1 , is a function from the sample space o