Bayes Theorem Example
A drug for athletes has a 6 percent false positive rate and a 9 percent false negative rate. Of the
athletes tested, 4 percent have actually been using the prohibited drug. If an athlete tests
positive, what is the probability that t
Ashley Patton
Tutorial Exercise Solution-Ted and Alice's House Decision
Constants
2013
2014
2015
Non-Housing Living Expenses (Cars, Food, Medical, etc)
NA
$36,000
Mortgage Amount for Home Purchase
NA
$200,000
Real Estate Taxes and Insurance on Home
NA
$3,
HW 4 (Due on June 6)
Chapter 4. Continuous Random Variables and Probability Distributions
Section 4.1
4,
a.
b. P(X 200) =
P(X < 200) = P(X 200) .8647, since x is continuous.
P(X 200) = 1 P(X < 200) .1353
c. P(100 X 200) =
d. For x > 0, P(X x) =
8.
0.20
f(
Please write your answer sheets clearly and stable all sheets
together if you have more than one page.
Homework 3
Due on 10/8 (Wednesday, at the beginning of the class)
You should work on every problem listed here. The total score for this
homework is 100
Homework 1
1.
Exercise 1.16 (a) and (b) (10pts.)
a.
beams
cylinder
s
9 5 8
88533 6 16
98877643200 7 012488
721 8 13359
770 9 278
7 10
863 11 2
12 6
13
14 1
The data appears to be slightly skewed to the right, or positively
skewed. The value of 14.1 appear
Chapter 5: Joint Probability Distributions and
Random Samples
The Distribution of a linear Combination
Population and samples
Parameters and statistics
Mean and Standard Deviation of X
Deriving a sampling distribution of sample mean
1.
Use Probabilit
Ch5.2: Joint probability distributions
There are many experimental situations in which more than
on random variable will be of interest. In this section, we
consider joint distributions for two discrete rvs.
Joint probability distributions of two discrete
STA 226 Summer 2012
Final Exam
Name
Student ID
TheexamisgivenonTuesday,June26
This is a closed-book exam. Show all your work for full credits and keep your answers
brief and right to the point. Results without details will be graded as zero. Good luck!
Pr
Chapter 7: Statistical Interval
Based on a Single Sample
Some Concepts
Chapter 6)
for
Point
Estimation
(Covered
in
Basic Properties of Confidence Interval
Large-Sample Confidence Intervals for Population Mean
and Proportion
Intervals Based on a Normal
Ch 8. Hypothesis test based on single sample
Overview
Sometimes we want answers to specialized questions such as is
>
0 ? Here 0
is a specified value. This can be addressed in
terms of a hypothesis testing problem where we are asked to
decide between 0 a
Chapter9: Compare two populations
Here we consider the problem of comparing two population means and two
population proportions. (The book also covers comparison of two population variance
but we will not.) In particular, we will consider methods for poin
HW 6 (Due on June 20)
Section 8.1
9, 11, 13
9.
a. R1 is most appropriate, because x either too large or too small contradicts p = .5
and supports p .5.
b. A type I error consists of judging one of the two companies favored over the other
when in fact ther