Discrete random variables
CEE 11 ch 3
Copyright Dr. Brigitte Baldi 2011
Random variables
A random variable X is a function that associates a unique numerical
value with every outcome of a random expe
Lecture 23
CEE 11, Probability and Sta8s8cs
Professor Stanley B. Grant
General Beta Distribu8on
Appropriate for situa8ons where the random
variable (or possibility space)
Lecture 26
CEE 11, Probability and Sta8s8cs
Professor Stanley B. Grant
Sta8s8cal Inference is used for
Point es8ma8on
Hypothesis tes+ng
Interval es8ma8on
Determining and
Lecture 25
CEE 11, Probability and Sta8s8cs
Professor Stanley B. Grant
Sta8s8cal Inference is used for
Point es)ma)on
Hypothesis tes8ng
Interval es8ma8on
Determining and
Lecture 24
CEE 11, Probability and Sta8s8cs
Professor Stanley B. Grant
Sta8s8cal Inference is used for
Point es)ma)on
Hypothesis tes8ng
Interval es8ma8on
Determining and
Lecture 21:
Multiple Random Variables
CEE [email protected]
Professor Stanley Grant
Guest Lecturer: Asal Askarizadeh
1
From Previous Lecture:
Random Variable:
Mathematical expression of an event in analytical fo
Lecture 20
CEE 11, Probability and Sta8s8cs
Professor Stanley B. Grant
Summary: Discrete Time or Space
Binomial Distribu/on PMF
P X = k;n, p = n p k 1 p
k
!
(
)
(
)
nk
Summar
CEE 110 - Methods III: Modeling, Economics, and Management
Spring Quarter 2017
Homework 6 (Class Project) [Full credit = 40 pts]
Due Friday of week 10, June 9th at noon in the CEE110 mailbox in the Ga
Problem 1
Legend:
ES
Act.
EF
LS
Dur.
LF
You can use the legend I design here, the one in the lecture, or any
other type designed by yourself. The legend is not fixed.
6
3
5
C
13
5
8
13
13
D
14
15
1
16
HW#3 Solution
1.
(a)
Payoff table
High interest
Medium interest
Low interest
Plan I
220
170
110
Plan II
200
180
150
Note that the goal here is to attract as many qualified students as possible, so we
Lecture 22
CEE 11, Probability and Sta7s7cs
Professor Stanley B. Grant
Hypergeometric Distribu7on
Useful in Quality Assurance/Quality Control
Hypergeometric Distribu7on
Use
Assignment 2
CEE11, Spring 2016
(1) Cement and reinforcing steel (rebars) are essential materials for constructing a reinforced
concrete building. During construction, the probabilities of encounterin
empirical CDF
Say you have N values
(ith value denoted as x , where i runs from 1 to N) from which you would like to construct an empirical CDF
i
o Sort the x values from smallest to largest, where th
The Judicial Branch:
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There are many courts as a part of the (federal) judiciary.
Roughly, t
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An Affront to
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Recall from last week: Any bill must pass both houses
(House and Senate) to
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Leader of the Free
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Founders wanted a balanced presidency:
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