Solutions for HW 1
STAT 544, Fall 2014
1) There are 12 11 10 9 = 11880 equally-likely ways of sequentially drawing four prizes from the bag. Of
these, 12 9 6 3 = 1944 correspond to getting a dierent type of prize on each draw (since, for example,
after th
Lecture 31: Introduction to Survival Analysis
(Text Sections 10.1, 10.4)
Survival time or lifetime data are an important class of data. A survival time is dened as
the time between a well-dened starting point and some event, called failure. In health
appl
Lecture 32: Survivor and Hazard Functions
(Text Section 10.2)
Let Y denote survival time, and let fY (y) be its probability density function. The cdf of Y
is then
y
FY (y) = P(Y y) =
fY (t)dt.
0
Hence, FY (y) represents the probability of failure by time
Lecture 16: Graphical Methods for Binomial Data and Introduction to Poisson GLMs
(Text Sections 9.1-9.2) Summary of Graphical Methods for Binomial Data As discussed in the last lecture, formal goodness-of-t tests of binomial GLMs rely on the assumption th
Solutions for HW 6
STAT 544, Fall 2014
Thursday section
1)
(a) For x 2, we clearly must have FX (x) = 0 (since its impossible for X to assume any value below its
x
x
support). For x > 2, FX (x) = fX (t) dt = 2 24t4 dt = 8t3 |x = 1 8x3 . Altogether, we hav
Solutions for HW 5
STAT 544, Fall 2014
1) Using the pmf values obtained for HW 4, we have that
E(X) =
xpX (x) = (1)(1/2) + (0)(1/4) + (1)(1/8) + (3)(1/8) = 0.
x
2) From the cdf that is given, it can be determined that the only possible values of X are 2,
Solutions for HW 3
STAT 544, Fall 2014
1) Let Fa be the event that the rst ball selected is amber, and dene Fb and Fg similarly (for the other two
colors the initial ball could be). Let E be the event that neither of the two additional balls is the same c
Solutions for HW 4
STAT 544, Fall 2014
1) Below Ill list all of the possible outcomes, their probabilities, and the corresponding value of X.
outcome
tails
heads, tails
heads, heads, tails
heads, heads, heads
prob.
1/2
1/4
1/8
1/8
x
-1
0
1
3
From the abov
544 Stats Final, Fall 2006
Lada Adamic SI 544 Dec 12, 2006 This is your nal exam. Turn in all R code, label your plots, and put in a sentence or two highlighting the results of each step of your analysis. Mention where appropriate things like p-values, wh
544 Stats Final, Winter 2008
Lada Adamic SI 544
This is your nal exam. Turn in all R code, label your plots, and put in a sentence or two highlighting the results of each step of your analysis. Mention where appropriate things like p-values, what your nul