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
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
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
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
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
Prior distribution of
Parameter has a prior distribution
Distribution of data X conditional on
X1, X2, , Xn are iid random variables
Lectures 9, 10, 11 and 12
27-Jan-16, 1-Feb-16 and 3-Feb-16
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
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
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
Section 7 Midterm Review
TF: Mingshu Huang ([email protected])
Section Hour: Tue 3-4pm, SC-216
Office Hour: Wed 9-10pm, SC-300H
1. (Larger or Smaller) For each part, decide whether the blank should be filled in with =, <
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
(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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