University of California, Los Angeles
Department of Statistics
Statistics 100B Instructor: Nicolas Christou
Exam 1
03 February 2012
Name: 7
Problem 1 (25 points)
Answer the following questions: ‘
a.
V University of California, Los Angeles
Department of Statistics
Statistics 100B Instructor: Nicolas Christou
Homework 1 - Solutions
EXERCISES 1
Find the distribution of the random variable X for each
University of California, Los Angeles
Department of Statistics
Statistics 100B
Instructor: Nicolas Christou
Homework 1
EXERCISE 1
Find the distribution of the random variable X for each of the followi
University of California, Los Angeles
Department of Statistics
Statistics 100B Instructor: Nicolas Christou
Homework 3 — Solutions
EXERCISE 1
In the case when n : 2 the sample mean is X = Egg—{1 and t
Qi
University of California, Los Angeles
Department of Statistics
Statistics 1003 Instructor: Nicolas Christen
MMW‘SQQLU7TVW3
Problem 1 (25 points)
Answar the following questions:
Midterm exam
1'5 Jul
University of California, Los Angeles
Department of Statistics
Statistics 100B Instructor: Nicolas Christou
Homework 4 — Solutions
EXERCISE 1
We know that X ~ b(n,p).
a. The likelihood function is L(p
University of California, Los Angeles
Department of Statistics
Statistics 100B
Instructor: Nicolas Christou
Exam 2 - practice questions
Problem 1
Answer the following questions:
2
a. Consider the regr
University of California, Los Angeles
Department of Statistics
Statistics 100B
Instructor: Nicolas Christou
The Central Limit Theorem
Suppose that a sample of size n is selected from a population that
University of California, Los Angeles
Department of Statistics
Statistics 100B
Instructor: Nicolas Christou
Homework 7
EXERCISE 1
A coin is thrown independently 10 times to test that the probability o
University of California, Los Angeles
Department of Statistics
Instructor: Nicolas Christou
Statistics 100B
Homework 5
EXERCISE 1
Let X1 , X2 , , Xn be independent and identically distributed random v
University of California, Los Angeles
Department of Statistics
Statistics 100B
Instructor: Nicolas Christou
Homework 8
EXERCISE 1
Answer the following questions:
a. The lifetime of certain batteries a
Chapter 04: Displaying and Summarizing
Quantitative Data
As before, it all starts with a pictureso lets look at some of the options when graphing
quantitative variables.
Graph Types
Histograms
Some pe
Chapter 20: Testing Hypotheses about Proportions
In the last chapter, we finally derived a way to estimate a parameter from a sample. Now, we
see how you can test whether or not a belief about a param
Chapter 23: Inferences About Means
Enough Proportions!
Weve spent the last two units working with proportions (or qualitative variables, at least)
now its time to turn our attentions to quantitative v
Chapter 06: The Standard Deviation as a Ruler and
the Normal Model
This is the worst chapter title ever! This chapter is about the most important random variable
distribution of them allthe normal dis
Chapter 19: Confidence Intervals for Proportions
When we made our probability calculations back in chapter 18, we were holding on to one
last thing that kept us from reality: knowing the value of p. S
Chapter 18: Sampling Distribution Models
This is the last bit of theory before we get back to real-world methods.
Sampling Distributions: The Big Idea
Take a sample and summarize it with a statistic.
Chapter 17: Probability Models
Now that we understand random variables, lets look at some of the more important ones.
Bernoulli Trials
but first, a concept: the Bernoulli Trial. A Bernoulli Trial is a
Chapter 15: Probability Rules
OKtime to hunker down and put some detail on the work we started in the previous chapter.
Unions
The Union of two events contains all outcomes that belong to either event
Chapter 14: From Randomness to Probability
Types of Probability
There are actually three different types of probability. Subjective probability is probability
based on personal beliefs. Seriously! You
Chapter 21: More about Tests and Intervals
Thinking about p-values
It is important to remember that our conclusion at the end of a hypothesis test is based on a
conditional probabilitythe probability
Chapter 16: Random Variables
So weve talked about variables. And weve talked about things that are random. Now its
time to put the two together.
The Idea
A Random Variable measures the (quantitative)
Chapter 03: Displaying and Describing Categorical
Data
Frequency Tables
The first step in creating a graph for qualitative data is to create a frequency table. This is a
list of the values that were o
Chapter 26: Comparing Counts (Chi Square)
Weve seen that you can turn a qualitative variable into a quantitative one (by counting the
number of successes and failures), but thats a compromiseit forces