MATH 10: Elementary Statistics and Probability
Chapter 1: Sampling and Data
Tony Pourmohamad
Department of Mathematics
De Anza College
Spring 2015
Introduction
Population and Sample
Data Types
What is Statistics?
Statistics
The collection of methods for p
USEPA and Chemical representation lab
Hugo A. Loiciga/UCSB
PART 1. (30 points). Go to the USEPAs web site
water.epa.gov/drink/contaminants. Check information on USEPA web page,
assisted with Search as needed . You will answer a number of questions about
Amargosa Valley Groundwater Quality
Water Quality 162, UCSB
Calculation of the chemical characteristics of
groundwater at two wells 14, 15: normality,
electrical conductivity (EC), total dissolved
solids (TDS), check electroneutrality criterion;
Analysi
Found Phys
DOI 10.1007/s10701-007-9163-3
Entropy, Its Language, and Interpretation
Harvey S. Leff
Springer Science+Business Media, LLC 2007
Abstract The language of entropy is examined for consistency with its mathematics
and physics, and for its efficac
Black hole heat engine
Tomas Opatrnya) and Lukas Richterek
Faculty of Science, Palacky University, 17. Listopadu 12, 77146 Olomouc, Czech Republic
(Received 29 June 2011; accepted 11 August 2011)
Two black holes can merge to create a bigger black hole, th
Environmental Chemistry
Chapter 10:
The Chemistry of Natural Waters
Copyright 2012 by DBS
Contents
Natural Waters
Oxidation and Reduction Chemistry in Natural Waters
Acid-Base Chemistry in Natural Waters
Natural Waters
The Blue Marble
0.001 %
water vapor
COVARIANCE AND CORRELATION
LECTURE NOTES
PROFESSOR HOHN
Contents
1.
Covariance
1
2.
Correlation
4
3.
Solutions to Exercises
7
1. Covariance
Definition 1.1. Let X and Y be jointly distributed random variable. The covariance of X
and Y is defined by
Cov(X,
Chapter 5: JOINT PROBABILITY
DISTRIBUTIONS
Part 1: Sections 5-1.1 to 5-1.4
For both discrete and continuous random variables we
will discuss the following.
Joint Distributions (for two or more r.v.s)
Marginal Distributions
(computed from a joint distrib
Notes on Continuous Random Variables
Continuous random variables are random quantities that are measured on a continuous scale.
They can usually take on any value over some interval, which distinguishes them from discrete
random variables, which can take
October 12, 1999: 6 billion!
December, 2012: 7 billion!
Now doubling every 61 years
Fertility rates
Pesticides and the
GREEN REVOLUTION
can we feed the planet?
Since 1950 food grew
faster than population:
population growth: 1.7% per year
food growth:
land
Salt water
Oceans (contain ~97% of all water
on earth; also responsible for weather,
redistribution of energy)
Fresh water
Polar ice caps, glaciers, Lakes, streams,
ground water, soil water
Brackish water
Water whose salinity is intermediate
between that
Salt water
Oceans (contain ~97% of all water
on earth; also responsible for weather,
redistribution of energy)
Fresh water
Polar ice caps, glaciers, Lakes, streams,
ground water, soil water
Brackish water Water whose salinity is intermediate
between that
Incident sunlight is thus reflected back through the plastic, which
stops it heating the building below.
Preventing something warming up is not, though, the same as
cooling it. The key to doing this is the glass beads. Temperature
maintenance is not a sta
1/3
Can Cao
18th May 2017
LAB 5: Remediation of Polluted Groundwater
Env. Studies 162
I. Calculations:
For PAT System:
1) Total cost = 180000 m3 X $50/m3=$9 X 106 = 9 million dollars
2) Time required to complete the treatment:
Operation days: 180000 m3/ (
6
Jointly continuous random variables
Again, we deviate from the order in the book for this chapter, so the subsections in this chapter do not correspond to those in the text.
6.1
Joint density functions
Recall that X is continuous if there is a function
COVARIANCE AND CORRELATION
LECTURE NOTES
BY THOMAS LAETSCH
EDITED BY MARYANN HOHN
Contents
1.
Covariance
1
2.
Correlation
6
1. Covariance
Definition 1.1. Let X and Y be jointly distributed random variable. The covariance of X and Y
is defined by
Cov(X, Y
HOMEWORK 2
PSTAT 120A W17
Professors Hohn & Wildman
1. The following parts refer to the letters: LAMEFIREALARM. Recall that word means distinguishable letter arrangements.
(a) How many words can be made with the above letters such that the Ms are not next
Syllabus
PSTAT 120A: Probability and Statistics
Professor Wildman Winter 2017
Lecture: TR 12:30 - 1:45 PSYCH 1924
Discussion: W 5:00- 5:50 HSSB 2251
R 9:00-9:50 HSSB 1228
W 7:00- 7:50 SH 1609
W 6:00- 6:50 HSSB 2251
W 5:00- 5:50 BUCHN 1934
Attending the le
Posting on Piazza
PSTAT 120A: Probability and Statistics
Professors Hohn and Wildman
Your Posts
Keep the following in mind when posting homework questions on Piazza:
Write the homework exercise number clearly (e.g. Homework 1, question 5).
Type the enti
HOMEWORK 10
PSTAT 120A W17
Professors Hohn & Wildman
1. A fair die is rolled twice, with outcomes X for the first roll and Y for the second roll. Find the
moment generating function MX Y t of X Y . Note that your answer should be a function
of t and can c
HOMEWORK 1
PSTAT 120A Winter 2017
Professors Hohn and Wildman
1. (adapted from Ross, 1.1) California has a license plate system for cars (not including trucks)
where the license plate consists of 7-places. The first place is a number; the next three place
Week 1: Combinatorics
PSTAT 120A Winter 2017
Professor Hohn
1. Hogwarts School was invited to play at an international quidditch competition. At the school,
Hogwarts has 12 Chasers, 8 Beaters, 4 Keepers, and 4 Seekers of which to choose 7 players (3
Chase
Week 2: Equally Likely Outcomes
PSTAT 120A W17
Professors Hohn and Wildman
1. You conduct an experiment where you continually flip a coin (keeping track of the outcome
of each flip) until the either the first heads appears or the coin has been flipped 5 t
Coevolution
Humans
Fast sprinter: low 20s mph
Humans
Fast sprinter: low 20s mph
Fast marathon: low teens mph
* a very fast runner *
Thompsons gazelle
Maximum Running speed: 50 mph
Sustained running speed:
* a very fast runner *
Thompsons gazelle
35 mph
Ma
perspective
Genetics of speciation
conservation of endangered species
Genetics of speciation
Genetics of speciation
ancestor species
descendent
species-1
descendent
species-2
Genetics of speciation
ancestor species
genetics
descendent
species-1
?
descende
Perspective
Hardy-Weinberg is an example of a null model
Hardy-Weinberg is an example of a null model
Predicts what the world looks like when something is absent (null)
Hardy-Weinberg is an example of a null model
Predicts what the world looks like when s
Perspective
What is the underlying genetic basis of quantitative (polygenic) traits?
What is the underlying genetic basis of quantitative (polygenic) traits?
This is an important question in medicine since many noninfectious diseases are quantitative trai
Lecture #2:
The History and Phylogeny of Life
Plan of the day
Reading: Chapter 4 (pg 67-75); Chapter 25 (pg 505-514)
I. History of Life
Chemical evolution
Dating techniques
Timeline of life
1
How did life originally evolve?
Cannot be explained by science