Conditional probability
P (B |A)
Conditional probability of B given A
Probability of B if it is known that A has occured
Conditional probability
Basic Rule (Product Rule)
P (A B ) = P (A)P (B |A)
Sinc
Example: Top 10 causes of death in the United
States 2001
% of top
% of total
Rank Causes of death
Counts
10s
deaths
1 Heart disease
700,142
37%
29%
2 Cancer
553,768
29%
23%
3 Cerebrovascular
163,538
Clusslfy the random variables below accordlng to whether they are discrete or continuous.
n. The number ofpoints scored durhig a basketball game.
b. The time it takes to tly from City A to City a,
e.
Clusslfy the random variables below accordlng to whether they are discrete or continuous.
n. The number ofpoints scored durhig a basketball game.
b. The time it takes to tly from City A to City a,
e.
relevant for determining whether 3 jurors among 12 is usually low: the result from
part (a) or part (b)?
d. Does 3 Mexican-Americans among 12 jurors suggest that the selection process
discriminates ag
b) What is the probability a sample containing Bina and Chris is selected.
Consider the following for the questions #5,#6,#7
8. How many different simple random samples of size 8 can be selected from
Listed below are measured amounts of carbon monoxide (in ppm over an 8 hour period) in the
air. EPA has established an average air quality standard for carbon monoxide as 9 ppm over an 8
hour period.
(X-U)/5
Binompdf (N,P,X)
Top numberMATHPRBNCR Bottom
BinomCDF (15,.3,3)
U=N*P O^2=N*P*Q(other probability) Q=square root of number
You Add and Subtract 8400 from 25,000 to youre your upper and lower
b
What is the Value for Q3 for student 1? 60
Which of the following is correct?
3)The score of III is skewed to the left
Which of the three has the largest (IQR)?
STUDENT 2
For the distribution drawn he
Quiz:What is the Value for Q3 for student 1? 60
Which of the following is correct?
3)The score of III is skewed to the left
Which of the three has the largest (IQR)?
STUDENT 2
Air is 50% and 5%
.05/.5
EXAM: A group of 10 employees in a firm have an
average salary of 50,000 the firm increases the
salary of two employees, who are currently earning
80,000 to 100,000. What is the AVG salary of the
empl
What is the probability that there will be less than seven defects in a random
sample of 24? 4. An industrial oven used to cure sand cores for a factory
manufacturing engine blocks for small cars is a
4.1 Discussion
Debate with your classmates whether the dynastic cycle is unique to China or can
it be connected to other civilizations throughout history. Do you believe that
Sassanid Persia or Gupta
4. A sample of 4 people is selected from a group of six people named Ali, Bina,
Chris, David, Erin and Frank.
a) How many such samples are possible?
b) What is the probability a sample containing Bina
SYLLABUS STT 315 Fall 2012
8/29/12
NOTE: This Syllabus serves both lectures and all recitations of STT 315 for Fall 2012. Professor Gilliland reserves the right to make
revisions to the Syllabus and t
Chapter 4
Discrete Random Variables
1. Probability Distributions for Discrete Random Variables
2. Expected value(Mean), variance, s.d
3. The Binomial Distribution
4. Other Discrete Distributions: Pois
DESCRIPTIVE STATISTICS
Organize
1. Frequency tables
2. Histograms
Summarize
1.
2.
3.
4.
Mean, Median, Percentiles
Standard Deviation
interquartile range
Boxplots
KEY WORDS IN CHAPTER 2
Barcharts
Histo
PROBABILITY
Sample space and Events
Rules of Probability
Conditional Probability and Independence
Combinatorial Concepts
PROBABILITY
Toss a coin Twice
P(H)=
1
2
1
P(T)= 2
Tacitly assumed fair coin. Tw
Continuous random variables
probability density, mean, s.d.
Normal distribution
A random variable X is continuous if P (X = x ) = 0 for all x
uniform random variable
Suppose X is a number picked at ra