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Math 151=
. Probability =
&nb=
sp; =
&nb=
sp; =
&nb=
sp; Spring
2012
Tentative Schedule of Lectures and
Examinations
Date &=
nbsp; &nbs=
p; Topic
W Jan 18 =
span>Introduction: A problem from statistical inferen=
ce
F &=
nbsp; Jan 20 =
span>Sample
Spaces
M &n=
bsp; Jan 23 =
span>σ-fields
W Jan 25 =
span>Probability
function
F &=
nbsp; Jan 27 &nb=
sp; Probability
function (continued)
M &n=
bsp; Jan 30 =
span>Independent
events
W Feb 1 Conditional
probability
F &=
nbsp; Feb 3&n=
bsp; Con=
tinuous
and discrete random variables
M &n=
bsp; Feb 6 Cumulative
distribution function (cdf)
W Feb 8 Probability
density function (pdf)
F &=
nbsp; Feb 10=
P=
robability
mass function (pmf)
M &n=
bsp; Feb 13=
E=
xpectation
of a random variable
W Feb 15=
R=
eview
F &=
nbsp; Feb 17=
<=
b>Exam
1
M &n=
bsp; Feb 20=
E=
xpectation
of a function of a random variable
W Feb 22=
V=
ariance
F &=
nbsp; Feb 24 Moments
M &n=
bsp; Feb 27=
M=
oment
generating function (mgf)
W Feb 29=
E=
xamples
of random variables
F &=
nbsp; Mar 2 &=
nbsp; Examples
of discrete distributions =
M &n=
bsp; Mar
5 &n=
bsp; Examples
of continuous distributions
W Mar 7 &=
nbsp; Joint
distribution functions
F &=
nbsp; Mar
9 &n=
bsp; Joint
distribution functions (continued)
M &n=
bsp; Mar
12 &=
nbsp; Sp=
ring
Recess!
W Mar 14 &nb=
sp; Spring
Recess!
F &=
nbsp; Mar
16 &=
nbsp; Sp=
ring
Recess!
M &n=
bsp; Mar
19 Marginal
distributions
W Mar 21&=
nbsp; Ma=
rginal
distributions (continued)
F &=
nbsp; Mar
23 Problems
M &n=
bsp; Mar.
26  =
; Review
W Mar 28=
<=
b>Exam
2
F &=
nbsp; Mar 30=
Cesar Chavez Day (no class)
M &n=
bsp; Apr 2&n=
bsp; Ind=
ependent
random variables
W Apr 4 mgf
convergence theorem
F &=
nbsp; Apr 6 The
Central Limit Theorem
M &n=
bsp; Apr 9 Simple
random samples
W Apr 11=
M=
ean
and variance of random samples
F &=
nbsp; Apr 13=
S=
ampling
distribution
M &nb=
sp; Apr 16=
C=
onditional
distribution
W Apr 18=
C=
onditional
expectation
F &=
nbsp; Apr 20=
C=
ovariance
and correlation &nbs=
p;
M &n=
bsp; Apr
23 Cova=
riance
and correlation (continued)
W Apr 25&=
nbsp; Review
F &=
nbsp; Apr 27 <=
b>Exam
3
M =
Apr 30 R=
eview
W May 2 Review
Th May 10=
Final
Examination