BinomialDistribution
Author(s)
David M. Lane
Prerequisites
Distributions, Basic Probability, Variability
Learning Objectives
1. Define binomial outcomes
2. Compute the probability of getting X successes in N trials
3. Compute cumulative binomialprobabilities
4. Find the mean and standard...
Special ProbabilityDistributions
Chapter 8
Ibrahim Bohari
bibrahim@preuni.unimas.my
LOGO
BinomialDistributionBinomialDistribution
In an experiment of n independent trials, where
p is a the probability of a successful outcome
q=1-p is the probability that the outcome is a failure
...
Term
Random Variable
Definition
A variable that takes on different numerical values based on chance
Term
Discrete Random Variable
Definition
A random variable that can only assume a finite number of values or an infinite sequence of values such as 0,1,2,3....
Term
Continuous Random...
Chapter 5 BinomialDistribution
5 BINOMIALDISTRIBUTION
Objectives
After studying this chapter you should
•
be able to recognise when to use the binomialdistribution;
•
understand how to find the mean and variance of the
distribution;
•
be able to apply the binomialdistribution to a...
B. Weaver (31-Oct-2005)
Probability & Hypothesis Testing 1
Probability and Hypothesis Testing
1.1 PROBABILITY AND INFERENCE The area of descriptive statistics is concerned with meaningful and efficient ways of presenting data. When it comes to inferential statistics, though, our goal is to make...
sunny or cloudy. If a day is sunny, the following day will be
sunny with probability 0.60. If a day is cloudy, the following day will be cloudy with probability 0.70.
Suppose it is cloudy on Monday.
a) What is the probability that it will be sunny on Wednesday?
There are two mutually exclusive ways...
series, such series is termed as normal frequency distribution or just frequency distribution. On the contrary, when there is estimation as to how the outcomes for any event will vary, they form a theoretical frequency distribution.
FREQUENCY DISTRIBUTION
• Observed frequency
• Event occurred
...
6
The Normal
Distribution
Objectives
Outline
After completing this chapter, you should be able to
1
2
3
Identify distributions as symmetric or skewed.
4
Find probabilities for a normally distributed
variable by transforming it into a standard
normal variable.
Introduction
...
Know the difference and relationship between sample statistics and population parameters.
1.3 Graphical Summaries Not included in the exam Ch. 2 Probability 2.1 Basic Ideas • • Understand the following important concepts: Random experiment, sample space, event. Understand the mathematical and physical...
P(A’)P(B’)
Conditional probability:
The law of total probability and Bayes’ theorem:
Properties (2):
X and Y are independent X and Y are independentExpectation:
Bernoulli distribution: X ~ Bernoulli(p)
for x = 0 or 1 ; otherwise
E(X) = p Var(X) = p(1-p)
Binomialdistribution: X ~ Bin(n,p)
...
sier!™ ing Everything Ea Mak
ta t i s t i c s S e nt ia l s Ess
Learn:
• Exactly what you need to know about statistical ideas and techniques • The “must-know” formulas and calculations • Core topics in quick, focused lessons
Deborah Rumsey, PhD
Auxiliary Professor and Statistics Education Specialist...
error will result in which of the following? A. Probability sampling B. Non-response bias C. Statistics about the actual population rather than the target population D. Inability to perform inferential statistics
2) A poll is planned to determine what proportion of all students favor an increase in...
Statistics and Probability for Engineering Applications
With Microsoft® Excel
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Statistics and Probability for Engineering Applications
With Microsoft® Excel
by
W.J. DeCoursey
College of Engineering, University of Saskatchewan Saskatoon
Amsterdam San Diego
Boston
...
Introduction
Many experimental situations occur in which we observe the counts of events
within a set unit of time, area, volume, length etc. For example,
• The number of cases of a disease in different towns
• The number of mutations in set sized regions of a chromosome
• The number of dolphin pod...
module:
* Module 3 online lectures
* From the textbook, Business Statistics in Practice, read the following chapters:
* Sampling Distributions
* Confidence Intervals
* Additional Resources:
* Z Scores in Business
* Decision Tree Analysis: www.mindtools.com/dectree...
observations must be independent. The observations must be drawn from normally distributed populations These populations must have the same variances Variables involved must have been measured in at least an interval scale.
A non-parametric statistical test is a test whose model does NOT specify conditions...
data
Data handling
Probability and statistical inference
6
7
8
9
2.
2.1
2.2
2.3
Data description
Data distribution
Typical values
Measures of dispersion
11
11
13
15
3.
3.1
3.2
Basic principles of probability
Set theory
From set theory to probability
18
18
19
4...