Text: Probability & Statistics for Engineers &
Scientists by Walpole, Myers, Myers, and Ye 9th Ed.
Prerequisite: Grade of C or better in Math
181.
Homework: Homework will be assigned
for each section covered. The
homework will be worth 50 points.
No late homework will be accepted.
Assigned problems and due dates
Exams: There will be two exams
during the course of the semester.
Each will be worth 100 points. The exams will be on
10/3 and 11/7.
Final Exam: The final exam will be
cumulative and worth 200 points. There will be no makeup final. You must take the exam
at the scheduled time. The final
exam is Tuesday December 11th from 8:00 to 10:00
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Topics
Covered in
STAT 381
Chapter 1
Histogram
Boxplot
Measures of Location
Sample
Mean
Median
Percentiles
Measures of Variation
Sample
standard
deviation
Chapter 2
Probability Rules
Compute probability using combinations
Conditional probability
Multiplication Rule
Law of Total Probability
Bayes’ Theorem
Chapter 3
Discrete Random variables
Properties of a pdf
Properties of a cdf
Continuous Random variables
Properties of a pdf
Properties of a cdf
Two variables
Use
joint pdf
Marginal
pdf
Conditional
pdf
Chapter 4
Expectations, especially mean and variance
Mean and variance of linear combinations of
independent
variables.
Chapter 5
Binomial
and
Multinomial: pdf, mean, and variance
Hypergeometric: pdf, mean, and variance
Negative Binomial:
Know pdf
Poisson :
pdf, mean,
and variance, and effect of changing interval
Chapter 6
Normal Distribution
Given
X find
percentiles
Given
Percentiles,
find X
Normal approximation of the binomial
Exponential : Know pdf, mean, and variance
Weibull: pdf
Gamma: pdf, mean, variance
Time until kth event is Γ( k, 1/λ) for a
Poisson process
with parameter λ.
Mean
and variance of
linear combinations of independent variables.
Chi-Squared: mean, variance
Chapter 8
Sampling Distributions
Central Limit Theorem
Mean of
Standard deviation of
t-distributions
Chapter 9
Confidence interval for population mean,
sigma known
Finding n for fixed error
Confidence interval for difference of
population means,
sigma known
Confidence interval for population mean,
sigma unknown
Confidence interval for difference of
population means,
sigma unknown
Confidence interval for population variance
Confidence interval for proportions
Finding n for fixed error
Confidence interval for difference of
proportions
Chapter 10
Significance tests for population mean, sigma
known
Set
up hypotheses
One
sided vs two
sided tests.
Determine
if sample
results are significant at a given significance level.
Significance tests for proportions.
Set
up hypotheses
One
sided vs two
sided tests.
Determine
if sample
results are significant at a given significance level.