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)
Since A B is same as B A,
P (A B ) = P (B )P (A|B )
Warning
Binomial random variable
Toss a coin with prob p of Heads n times
X : # Heads in n tosses
X is a Binomial random variable with parameter n,p.
X is Bin(n, p)
An X that counts the number of successes in many
independent bernoulli trials is called a binomial
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. The distance i baseball travels in the air alter being
satisfaction with the software, service, and other features, and some background
information on the customer and their company. 1. One variable in the customer
survey asked about agreement that SPSS products are a good value (gdvalue). A
second question 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 India represent a form of the Dynastic Cycle as evidenc
(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
bound mean is 25,000 to get S.D. is Sigma/SR of N Keep i
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. The distance i baseball travels in the air alter being
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
employees after their sales increase. ?
A)54,000
What is th
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/.55=.00909
COOL SHIT$A disease is the present at the rate
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 here, identify the mean,
median and mode?
A=Mode, B= Medi
STT 315 Lecture 1
Sections 1 11, MW 8:30 - 9:50AM, 108 Ernst Bessey Hall
Instructor: Prof. Yuehua Cui, C432 Wells Hall, E-mail: [email protected]
Office Hours: MW 1.00 - 2.00 p.m . and by appointment
Class Format: There will be lectures on Mondays and Wedne
Post HIS101 unit 2 Discussion latest 2016 august
Choose a civilization from ancient China (Shang; Zhou; Han) and one from India
(Harrapan; Aryan; Mauryan) and describe how religion contributed to the rise and
fall of both civilizations. Describe the role
One potential contractor determines that the average time complete a project of
this type is 32 weeks with a standard deviation of 7 weeks. The time required to
complete this project is assumed to be normally distributed. (a) If the due date of
this proje
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 random from the
interval [0, 1]
P (X = x ) = 0 for all x
MEASURES OF SPREAD
1. Range: Maximum - Minimum
2. IQR (Inter Quartile Range)= Q3 Q1 (Minimum,Q1 ,
Median, Q3 , Maximum: Five number Summary)
3. Standard Deviation
PERCENTILES
p-th percentile: The value below which (roughly) p% of the
data points lie. When
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. Two possible outcomes. Both
equally likely
S = cfw_H , T
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
Histograms
Mean,Median,quartiles
Standard Deviation
Chebyshe
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: Poisson and Hypergeometric
Distributions
Chapter 4
Discrete
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 and Chris is selected.
Consider the following for the
distribution for test scores is a normal one. The scores from this years Spring term
have a mean of 74 (out of 100 points) and a standard deviation of 6. The teacher
grades according to the curve, which means that grades will be determined by the
z-scores
Do you see any problems with doing a t test? 2. What do you conclude about mean
differences by gender? 3. Create an error bar chart for each variable by gender. Is
the graph consistent with the result from the t test? 4. Now do the same analysis
with the
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 able to maintain fairly constant
temperatures. is concer
Investigate how the number of siblings (sibs) varies by highest degree
(degree). Ask for appropriate statistics. 2. Is the assumption of
homogeneity of variance met? Is the ANOVA test significant at the .01
level? 3. Do a post hoc analysis, if justified.
That is the question the CEOs wants you to evaluate before GM commits funds to
design the next generation of Volt and then to increase its production. Therefore,
you randomly select 875 car owners looking to buy compact and interval for the
true percentag
, other wise the the player loses the money. Find the expected expected value of the
gain for this player.
You may fill the following table to answer this question
Outcome Gain Probability
relevant for determining whether 3 jurors among 12 is usually low:
Post HIS101 unit 5 Discussion latest 2016 august
Review and read current events articles from reputable news sources that are highlighting Sunni
and Shiite relations worldwide. Choose one article from your review, written in the last 5 years,
to share wit