The Binomial Distribution
Perhaps the most commonly used discrete probability distribution is the binomial
An experiment which follows a binomial distribution will satisfy the following
1. The experiment consists of n identical
MAT 3026HOMEWORK ASSIGNMENT
Due Date: Friday, November 31, 2014
1. A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in
the accompanying data on time (sec) to complete the escape ("Oxygen Consumption and
MAT3026 - Probability and Statistics
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Print a copy of this sheet and include it as a cover page for the homework.
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Definition: The set of all possible outcomes of a statistical experiment is called
the sample space and is represented by the symbol S.
Each outcome in a sample space is called an element or a sample point of the
Example: The sample space S,
Definition: A random variable (r.v.) is a function that associates a real number
with each element in the sample space.
A random variable is called a discrete random variable if its set of possible
outcomes is countable.
EXAMPLE: The experiment is flippin
FACULTY OF ARTS AND SCIENCES
DEPARTMENT OF MATHEMATICS
2014-2015 Fall Semester
Probability and Statistics
Prof. Dr. Ali Hakan Bykl
Tel: (0212) 3834415 e-mail: [email protected]
The Geometric Distribution
This is an example of a waiting time problem, that is, we wait until a certain event
occurs. We make the assumptions used in the binomial distribution so we assume
1. on each trial of our experiment, the result is one of t
Definition: A population consists of the totality of the observations with which we
Definition: A sample is a subset of a population.
Definition: Any function of the random variables constituting a rando
Definition: If a sample space contains an infinite number of possibilities equal to
the number of points on a line segment, it is called a continuous sample space.
A random variable can take on values on a continuous scale, it is called a
Example: Seven applicants have applied for two jobs. How many ways can the
jobs be filled if
(a) the first person chosen receives a higher salary than the second?
(b) There are no differences between the jobs?
Homework Assignment 4
Due on Friday 5, December 2014
1. An important factor in solid missile fuel is the particle size distribution. Significant
problems occur if the particle sizes are too large. From production data in the past, it has
been determined t
Continuous Probability Distributions
The observations generated by different statistical experiments have the same
general type of behavior. The followings are the probability distributions that will
be covered in this chapter:
Statistics is the body of procedures and techniques used to collect, present, and
analyze data on which to base decisions in the face of uncertainty or incomplete
Statistics is subdivided into descriptive and inferential.