Stat 110 Homework 10 Solutions, Fall 2014
Problem 1. You toss a fair coin repeatedly until some event happens.
(a)What is the expected number of tosses until the pattern HT appears for the rst time?
Hint: break this calculation into 2 pieces: the expected
STA310H5
Winter 2016
Assignment 5
1. A tire manufacturer claims that his tires will last no less than an
average of 50000 km before they need to be replaced. A consumer
group wishes to challenge this claim.
a. Clearly define the parameter of interest in t
STA310H5
Winter 2016
Assignment 3
The first 4 questions refer to the file Heights.xlsx, data about the heights (in
cm) of adult females who live on Planet Vesta (the values are all simulated).
Although R can easily crank out confidence intervals, please w
STA310H5
Winter 2016
Assignment 3 Solutions
1. The prior estimate of is 330, the posterior estimate is
nx 2 2 100nx 330s 2
where and s are statistics from a sample. Notice:
n 2 2
100n s 2
If n is large and/or if s is small, then posterior estimate is clos
STA310H5
Winter 2016
Assignment 3
Solutions to these questions are not to be handed in. The questions are
preparation for tests and quizzes.
1. Imagine, for example that is the true speed of sound. I think this is
around 330 metres per second and am prett
ECO370: Exam Notes
September 11, 2016: Does Organization Matter?
Milgrom Chapter 1: page 2 to 9
Case Study: General Motors vs. Ford
Crisis and Change at General Motors
Pierre du Pont appointed Alfred Sloan to head General Motors in 1921, the company
was i
STA310H5
ALISON WEIR
Lecture 8
25-Jan-16
BAYES PARAMETER
DISTRIBUTIONS
Prior distribution of
g
Parameter has a prior distribution
Distribution of data X conditional on
f
X |
X1, X2, , Xn are iid random variables
with distribution
n
f
Joint distribut
STA310H5
ALISON WEIR
Lectures 9, 10, 11 and 12
27-Jan-16, 1-Feb-16 and 3-Feb-16
ESTIMATION USING
LIKELIHOOD FUNCTIONS
Distribution of One Random Variable
f(x) = f(x;) is either a pdf or a pmf it is a function of x for a fixed value of the
parameter .
A p
STA310H5
ALISON WEIR
Lecture 14
10-Feb-16
LIKELIHOOD INTERVALS
Finding the probability of observation(s), for a given parameter value
The density/mass function for one observation is f ( x; )
The density/mass function for n iid observations is
n
f (x; )
Important terms or theories to know * relate back each case study to these*
Vertical integration: the combination in one company of two or more stages of
production normally operated by separate companies
o The expansion of a firm into different steps alo
Stat 110
Section 7 Midterm Review
TF: Mingshu Huang (mingshuhuang@fas.harvard.edu)
Section Hour: Tue 3-4pm, SC-216
Office Hour: Wed 9-10pm, SC-300H
Problems:
1. (Larger or Smaller) For each part, decide whether the blank should be filled in with =, <
or >
Stat 110 Homework 1 Solutions, Fall 2014
Problem 1. Suppose that a box contains r red balls and w white balls. Suppose that balls are drawn
from the box one at a time, at random, without replacement.
(a) What is the probability that all r red balls will b
Stat 110 Homework 6 Solutions, Fall 2014
Problem 1. Suppose that we have data giving the amount of rainfall in a city each day in a certain
year. We want useful, informative summaries of how rainy the city was that year. On the majority of
days in that ye
Stat 110 Homework 3 Solutions, Fall 2014
Problem 1: Based on Problem 4 from HW #2, for this new treatment problem, nish part (b):
Given the results of the rst study, calculate the expected number of patients the new treatment will
be eective on in the sec
Stat 110 Homework 4 Solutions, Fall 2014
Problem 1. Raindrops are falling at an average rate of 20 drops per square inch per minute.
(a) What would be a reasonable distribution to use for the number of raindrops hitting a particular
region measuring 5 inc
Stat 110 Homework 8 Solutions, Fall 2014
Problem 1. Let X and Y be i.i.d. Unif(0, 1), and let W = X Y .
(a) Find the mean and variance of W , without yet deriving the PDF.
Based on the linearity of expectation and the fact that X and Y are independent to
Stat 110 Homework 11 Solutions, Fall 2014
Problem 1. Individual chicken eggs are produced independently with mean = 1.5 ounces, but with
unknown distribution.
(a) Calculate a limit on the probability that a carton of a dozen eggs weighs more than 2 pounds
Collaborative Statistics Using Spreadsheets
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Chapter 9
Open Assembly Edition
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