Solutions to STAT 302 Homework No. 3
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E (C ) = E (40X ) = 40E (X ) = 40(5) = $200.
V (C ) = V (40C ) = 402 V (X ).
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Stat 302 Assignment 1 (solution)
Q1.
(a) There are 7!=5040 possible dierent signals can be made, if there are no
restrictions.
(b) There are 2!2!3! arrangements such that the red ags are rst in line, then
the blue ags, then the green ags. Similarly, for e
MATH/ STAT 302
Introduction to Probability
Midterm Exam 1
Section 202
Feb 16, 2007
Time: 50 minutes for working
Name:
Student No:
Instructions:
Read the whole exam paper carefully. We suggest you start with the
questions you think are easiest.
You must ex
1
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sol. For any pair, as well as for all three, the probability of the intersection is the
product of the probabilities.
(b) Suppose that X, Y and Z are indepe
http:/www.stat.ubc.ca/~bouchard/courses/stat302fa201516/
Intro to Probability
Instructor: Alexandre Bouchard
Fall 2015
Wednesday, September 30, 15
Plan for today:
CORRECTIONS
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Calculation for predictive probability: see
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http:/www.stat.ubc.ca/~bouchard/courses/stat302fa201516/
Intro to Probability
Instructor: Alexandre Bouchard
Fall 2015
Wednesday, October 7, 15
Plan for today:
Wrapping up yesterdays problem
Graphical models
Wednesday, October 7, 15
http:/www.stat.ubc
1
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http:/www.stat.ubc.ca/~bouchard/courses/stat302fa201516/
Intro to Probability
Instructor: Alexandre Bouchard
Fall 2015
Monday, October 5, 15
Plan for today:
Random variables, conditioning, and expectation
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Q1. Dene:
A = Linda gets an A;
B = John gets an A.
We know that P (A) = P (B), P (A B) = 0.7, and P (A B) = 0.3.
(a)
P (A B) = P (A) + P (B) P (A B)
= 2P (A) P (A B)
P (A) = (P (A B) + P (A B) /2
= (0.7 + 0.3)/2 = 0.5.
(b)
P (BA) =
CPSC 213
Introduction to Computer Systems
Winter Session 2014, Term 2
(0) Lecture 1 Jan 5
Introduction
The Basics
CPSC 213: Introduction to Computer Systems
What is a computer?
What is a computer system?
Why should you care?
How do you get an A?
a MAC
Winter 2016 STAT 302
Chapter 2 Axioms of Probability
Learning outcomes:
Aim: Demonstrate an understanding of basic probability concepts
Recognize the random experiment of interest in a given scenario
List all possible outcomes in the sample space of a r
Winter 2016 STAT 302
Chapter 4 Random Variables
Learning outcomes:
Aim: Demonstrate an understanding of the basic concepts of discrete
random variables and a number of common discrete distributions
Appreciate that a random variable is a function that map
Winter 2016 STAT 302
Extension of the basic principle of counting:
there are a total of r experiments
experiment i has ni outcomes (i = 1, 2, ., r)
total number of outcomes = n1 n2 . nr
Exercise 1
An experimenter wishes to investigate the eects of thre
Winter 2016 STAT 302
Chapter 6 Jointly Distributed Random Variables
Learning outcomes:
Aim: Describe the joint and conditional distributions related to two or
more discrete or continuous random variables
Recall the following definitions relating to two d
Winter 2016 STAT 302
Chapter 5 Continuous Random Variables
Learning outcomes:
Aim: Demonstrate an understanding of the basic concepts of continuous
random variables and a number of common continuous distributions
Identify the random variable(s) of intere
Winter 2016 STAT 302
Chapter 1 Combinatorial Analysis
Learning outcomes:
Aim: Demonstrate the ability to solve combinatorial problems
Use the basic principle of counting to obtain the total number of
possible outcomes in a random experiment
Dierentiate
Winter 2016 STAT 302
Chapter 5 Continuous Random Variables
Learning outcomes:
Aim: Demonstrate an understanding of the basic concepts of continuous
random variables and a number of common continuous distributions
Identify the random variable(s) of intere
Winter 2016 STAT 302
Chapter 2 Axioms of Probability
Learning outcomes:
Aim: Demonstrate an understanding of basic probability concepts
Recognize the random experiment of interest in a given scenario
List all possible outcomes in the sample space of a r
FALL 2016/17 TERM 2 STAT 302: ASSIGNMENT 2
Due: 2pm on Thursday February 9, 2017
Please remember to include a cover sheet when you submit your assignment. You may hand
in your assignment in class or deposit it in the STAT 302 assignment box on the ground
STAT302: Introduction to Probability
Fall 201415
Assignment 2
Due date: see course website (Under Schedule).
Instructions
Academic integrity policy: I encourage you to discuss verbally with other students about the assignment.
However, you should write y