Consider the toss of a single weighted coin. Suppose a 0 is recorder if the result is tails and a 1 is recorded if the result is heads. If we let p denote the probability that the coin lands on head
Onceagain,considerthetossingofafair6sided die,andletAbetheeventanevennumberis observed. 3 Number of outcomes in A Then P(A) = =
6
Total number of outcomes
Thisdefinitionofprobabilitywillworkaslongas t
Once again, consider the tossing of a fair 6sided die, and let A be the event an even number is observed. 3 Number of outcomes in A Then P(A) = =
6
Total number of outcomes
This definition of pro
To begin this section, we will be looking at
unemployment data from 1989. This will
lead us naturally into Conditional
Probability.
Education
Employed
Total
5,299
Unemploy
ed
406
Elementary School
H
MATH 1780: Introduction to Probability
Instructor: Jason Snyder
Contents
Section 1: Random Variables and Their Probability Distributions Section 2: Expected Values of Random Variables Section 3:
Consider a game in which you toss two coins, if the two coins match then you win $1; if they do not match you lose $1. In the long run, how much would you expect to win or lose? Solution: Since the
Suppose we want to determine a probability distribution that models the number of accidents that occur on I-635 in a given hour, or given week. We can think of the time interval as being broken into
As before, in the Binomial Distribution, we will be tossing a coin repeatedly. However this time, we will not be tossing it only n times. We are going to be tossing it an undetermined number of
MATH 1780: Introduction to Probability
Instructor: Jason Snyder
Contents
Section 2: A Brief Review of Set Notation Section 3: Definition of Probability Section 4: Counting Rules Useful in Proba
The notion of probability requires three elements: A target population (either conceptual or real) from which observable outcomes are obtained Meaningful categorization of these outcomes A random m
Homework Set 3: 1780
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