STAT 450
Assignment 1 Solutions
1.
The concentration of cadmium in a lake is measured 17 times. The
measurements average 211 parts per billion with an SD of 15 parts per billion.
Could the real concen
STAT 450
Solutions: Asst 3
1.
Page 216 number 41.
Let U=X and V=X+Y. These are the new variables. Solving gives X=U and Y=VU. The matrix of partial derivatives is
The Jacobian is
. The joint density o
Stat 305 Week 5 October 3,5, 2016
Probability of 3 or more independent cases (done on the
document camera).
Odds ratio for 3 or more conditions. (2 x N tables)
Relative Risk
Causality
Practice Midterm
Problems: Assignment 7
1.
From the text Chapter 7 number 4 page 362.
Let
be the first sample and use Ys for the second.
There are 4 likelihood equations which show that the mles may be found for
the X
STAT 450
Solutions: Asst 4
1.
Chapter 2, question 5 part c, page 82
This X is Binomial(2,1/4). So
and
and
2.
Chapter 2, question 13 part a.
Define h(b) by
To minimize h set
and solve to find
for all b
STAT 450
Problems: Assignment 6
1.
Suppose
that
(a)
are independent
has a
Use the fact that the mean of a
random variables. You know
distribution.
is 1 and that the variance of a
compute the mean squa
STAT 450
Problems: Assignment 9
1.
From the text Chapter 9 number 2a,b page 473.
Part a: Having done the problem I gather that 3/4x1 is supposed to mean 3/
(4x1) but when I first wrote solutions I tho
STAT 450
Problems: Assignment 8
1.
From the text Chapter 7 number 17 page 364.
Part a: the whole data set is always sufficient. This rv has density
Notice that
for all (by symmetry) so X is not comple
STAT 450
Midterm 1: Solutions
1.
Suppose that X and Y are independent and that each has density, f, given
by
for t>0 and f(t)=0 for t<0.
(a)
Find the joint density of U=X/Y and V=X+Y. [4 marks]
Solvin
STAT 450
Midterm Examination II
Instructions: This is an open book exam. You may use notes, books and a calculator.
The exam is out of 20. DON'T PANIC.
1.
Suppose that
are an iid sample from the discr
STAT 450
Problems: Assignment 5
1.
Suppose that X1,X2,X3 are a sample from the Poisson
distribution. Assume
we see X1=1, X2=3 and X3=2. Graph the likelihood and log-likelihood functions
between
and
.