7. Expectation, Averages, Variability
7.1 Summarizing Data on Random Variables
When we return midterm tests, someone almost always asks what the average was. While we could list out all marks to give a picture of how students performed, this would be tedi
5. Review of Useful Series and Sums
The preceding chapters have introduced ways to calculate the probabilities of random events, based on various assumptions. You may have noticed that many of the problems youve encountered are actually similar, despite t
3. Probability Counting Techniques
Some probability problems can be attacked by specifying a sample space S = cfw_a1 , a2 , . . . , an in 1 which each simple event has probability n (i.e. is equally likely"). Thus, if a compound event A r consists of r s
Question 1: Score 0/1
Suppose X and Y are independent and uniform on the set
Find
(to 3 decimals)
Incorrect
Your
Answer:
Correct
4/(7^2)0.01
Answer:
Comment
:
The joint probability function is
= 0.082
Question 2: Score 0/1
Suppose x and y have a joint pro
Question 1: Score 0/1
Suppose a box contains 6 Red, 2 Green and 4 White balls.
Two balls are selected at random without replacement. X is
the number of red and Y is the number of green balls in the
sample.
Find
(to 3 decimal places).
Incorrect
Your
Answer
Statistics 230, Spring 2010
Midterm Test 1
June 3, 2010
Duration: 75 Minutes
Family Name:
Given Name:
ID #:
Instructions:
1. You may use a pink tie calculator for this exam, but a calculator is not required.
2. Show your work where possible. Part marks ca
STAT 230 Midterm Test 2
Fall 2009
Time: 70 minutes
Name:
I.D. #
Instructor/Section: M. LaCroix (1, 2, 5)
; C. Springer (3)
; S. Khan (4)
(12) 1. Suppose people arrive at an automated banking machine (ABM) according to the conditions for a Poisson process
STAT 230 - Probability
Fall 2016
Course Syllabus
Course Website:
learn.uwaterloo.ca You are expected to regularly read your UWaterloo email and visit the course website on Learn
for announcements.
Instructors:
Sec
001
002 (CS)
003 (CS)
004
005
Instructor
9. Continuous Probability Distributions
9.1 General Terminology and Notation
Continuous random variables have a range (set of possible values) an interval (or a collection of intervals) on the real number line. They have to be treated a little differently
8. Discrete Multivariate Distributions
8.1 Basic Terminology and Techniques
Many problems involve more than a single random variable. When there are multiple random variables associated with an experiment or process we usually denote them as X, Y, . . . o
4. Probability Rules and Conditional Probability
4.1 General Methods
In the mathematical denition of probability, an arbitrary event A is merely some subset of the sample space S . The following rules hold: 1. P (S ) = 1 2. For any event A, 0 P (A) 1 It i
STAT 230 Midterm Concepts/Formulas
Note: Not everything in your textbook/covered on your midterm is guaranteed to be listed
here. This is just a guide for some key concepts we considered to be important.
Definitions:
A sample space S is a set of distinct