STAT 230 Introduction to Probability and Random Variables
Lecture 2: Methods of Enumeration and Conditional Probability
June 24, 2009
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I. Methods of Enumeration
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Multiplication Principle Suppose that a random experiment E1 has n1 possible outc

STAT 230 Introduction to Probability and Random Variables Summer 2009 Practice for Midterm 2 Exercise Let X be the number of fish caught by a fisherman in one afternoon. Suppose that X is distributed Poisson(). Each fish has probability p of being a salmo

STAT 230: Introduction to Probability and Random Variables
Summer 2009 Solutions for Midterm 1
Exercise 1 (20pts.) A large group of people is to be checked for two common symptoms of a certain disease. It is known that 20% of the people possess symptom A

STAT 230: Introduction to Probability and Random Variables
Summer 2009
Problem set: Introduction to Poker Solutions
PROCEDURE: We will first choose from the 13 kinds common to each suit, then we choose the suit for each group of cards that have the same k

STAT 230: Introduction to Probability and Random Variables
Summer 2009
Problem set: Introduction to Poker
Poker is a game played with a standard 52 playing card deck. There are 4 suits: spades, clubs, diamonds and hearts. Each suit has the same 13 cards.

STAT 230: Introduction to Probability and Random Variables
Summer 2009 Chapter 3: Random Variables of the Continuous Type
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PDF and CDF
Thus far, we have only discussed discrete random variables in detail. Recall that discrete random variables describe th

STAT 230: Introduction to Probability and Random Variables
Summer 2009 Chapter 2
1
Random Variables
For many experiments, we are more interested in a characteristic of the outcome rather than the outcome itself. The notion of a variable is introduced in e

STAT 230: Introduction to Probability and Random Variables
Summer 2009
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1.1
Probability
Sample space and Events
Denition 1. Random Experiment A random experiment is an experiment for which the outcomes cannot be determined ahead of time. Denition 2. Samp

STAT 230 Introduction to Probability and Random Variables
Lecture 1: Basic Concepts and Properties of Probability
June 23, 2009
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I. Basic concepts
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Basic terminology (1) A Random Experiment is an experiment for which the outcome cannot be pred

Practice Problems for the Final Problem 1 The three doors on the Monty Hall show open to show a goat; another goat; and a new car. If a goat cost $1,000 and a car cost $10,000, and if each contestant chooses a door at random (probability 1/3 each) and sti