Stat 238a/538a
Homework #5 Solutions
1. Consider the experiment of rolling a fair die 6000 times, and let X denote the number of 6s observed.
You are interested in the probability that X differs from
Stat 238a/538a
Solutions for Homework #3
1. [Location and height of the laser pole ] Consider the laser pole problem with the same small made-up
data x = (1, 2, 7.8, 9.2) as in class, except that supp
Stat 238a/538a
Solutions for Homework #9
1. [A one-way analysis of variance type example from pp. 431-432 of Mendenhall, Beaver, Beaver
Probability and Statistics 11th Edition.] In an experiment to st
Stat 238a/538a, Fall, 2013
Answers for Homework #4
1. [Expectation and LOUS]Let X have probability density function fX (x) = 2x for 0 x 1, and 0
otherwise.
(a) Find E (X ).
(b) Dene Y = 1 X . Find the
Stat 238a/538a, Fall 2016
Bonus practice midterm1
There are 5 problems. Please show your work and calculate numerical answers for all questions that have one.
You should write neatly so your work can
Stat 238a/538a, Fall, 2016
Midterm exam solutions
Stat 238a/538a, Fall 2016, Midterm Exam Solutions
There are 5 questions on two sides of this sheet. Please show your work and calculate numerical
answ
Stat 238a/538a, Fall, 2016
Practice midterm with solutions
Stat 238a/538a, Fall, 2016; Practice Midterm Exam
With solutions
There are 5 questions. Please show your work and calculate numerical answers
Stat 238a/538a
Solutions for Homework #10
1. [A small toy regression problem where we will calculate and draw everything by hand rather than with a
computer.] Consider the following little data set:
x
Stat 238a/538a
Solutions for Homework #7
1. Lets investigate how the performance of the Metropolis method can be affected by poor choices of the
proposal distribution. You can use R commands like thos
Stat 238a, Fall, 2013
Solutions for Homework #8
1. [From Speigelhalter et al. (2004) book, Ex. 3.4 page 63)] Suppose we are interested in the long-term
systolic blood pressure (SBP) in mmHg of a parti
Stat 238a/538a
Solutions for Homework #6
1. [Using law of total expectation] Two caterpillars, Katie and Pele, are in love. As devout members of
the new age Tetrahedron Power Society, they must comple
Stat 238a/538a
Answers for Homework #1
1. You are walking in Manhattan from point A to point B, and you always walk either toward the North
or the East.
(a) How many such paths are there from A to B?
Stat 238a/538a
Answers for Homework #2
1. If X B(n, ), show that the maximum likelihood estimator for is X .
n
Answer.
The likelihood function is the probability of X , viewed as a function of :
L ( )
21 de Mayo de 2016
Universidad Tecnolgica YachayTech
Estudiante: Kewrin Choez Macay
Paralelo: 3D
Relacin 2.
Fundamentos de la probabilidad.
1. Describe el espacio muestral asociado a cada uno de los s