Carleton University
School of Mathematics and Statistics
STAT 3502 Assignment #1
Due Monday, June 3 before 6:35 pm
INSTRUCTIONS:
I. Assignments are to be submitted in-class on the due date and prior to beginning of class. No
late assignments will be accep

STAT 3502 A
Test Information
1. Midterm test will be held on Wednesday, October 19, 2016.
2. Time: 8:30 am - 9:50 am.
3. Place: AT 102
4. Bring with you non-programmable calculator and pen/pencil. Test and answer papers,
formula sheet, and any statistical

Review
Q. 1
Suppose a lot is accepted at production if there is 1 or less defective
items in a random sample of n = 50. These items are declared
defective if the concentration of a chemical is less than 0.1 m per
item where the concentration is distribute

Solutions to Review
1. Let X denote the number of defective items in the sample of 50 units and let Y
denote the distribution of the concentration of the chemical of interest where Y
exponential(0.5).
Then X Binomial(n, p), where p = P (Y 0.1) = 1 e0.5(0

FORMULA SHEET
n!
Permutations and combinations: Pk,n =
,
(n k)!
Ck,n =
(n )
k
=
n!
.
k!(n k)!
Conditional probability: For any two events A and B with P(B) > 0,
P(A|B) =
P(A B)
.
P(B)
Multiplication rule for conditional probability: For any k events A1

Carleton University
School of Mathematics and Statistics
STAT 3502: Probability and Statistics - Assignment 3
Section B due on Tuesday, Mar. 21, 2017
Section C due on Monday, Mar. 20, 2017
INSTRUCTIONS:
I)
II)
III)
IV)
Assignments are to be handed in prio

5.2 Expected value, covariance
and correlation
Expected value of a function of (X,Y)
Example
Refers to candy example: if 1lb of almonds,
cashew, and peanuts costs respectively $1.00,
$1.50, and $.50, what is the average cost of a
1lb can?
Covariance an

STAT 3502: Probability and Statistics
Term & Section
Instructors
Emails
Offices
Phones
Office hours
Winter 2015, Section A
Mohamedou Ould-Haye
ouldhaye@math.carleton.ca
HP 5239
613 520 2600 ext. 1287
Tue. & Thu. 1-2pm,
or by appointment
Winter 2015, Secti

STAT 3502 Winter 2013
ASSIGNMENT 4
DUE: Wednesday, April 10, in my office (HP5239) from 9am-12pm
NOTE: This assignment covers Chs. 6, 7 & 8 of the textbook. Late assignments will
NOT be accepted. TAs will NOT accept assignments directly from students. Do

Carleton University
School of Mathematics and Statistics
STAT 3502 Assignment #3
Due Monday, July 15 before 6:35 pm
INSTRUCTIONS:
I. Assignments are to be submitted in-class on the due date and prior to beginning of class. No
late assignments will be acce

Summary of Ch. 2
2.1 Random experiment
Definition: Experiment which outcome is not
known in advance, or may change if repeated
several times.
Examples:
1. gender of a newborn: outcome; boy or girl
2. tossing a coin Head or tail
3. rolling a die: 1 2

8.1-8.4 Test about population
mean and population proportion
Large sample
Math-free example(Justice court)
A person is being tried for a theft (or a murder)
At start, (s)he is innocent (H0). The prosecution
attempts to convince judge (s)he is guilty (Ha

Exponential Distribution
1. If X has an exponential distribution with parameter , derive a general expression for
the (100p)th percentile of the distribution. Then specialize to obtain the median.
2. Find the joint and marginal densities corresponding to

6.2 Methods of point estimation
Method of moments estimator and
MLE
Method of moments
Equate
sample th moment and th population
moment (for ).
Example 1: Let be a random sample from
exponential distribution with parameter
(unknown). Find the method of m

7.3 Small sample CI for mean
Chi^2 and t distributions
If
is a random sample from standard normal
distribution, then
has chi square distribution with degrees of
freedom (df).
If is has standard normal distribution and
independent from then
has distribu

Ch.3 Discrete random variables
Probability distributions
3.1 Random variables (RV)
An RV is usually denoted X,Y, Z, etc. Examples:
1. We toss a coin twice. Let X= number of Heads. X
can take values 0, 1, 2.
2. Y= number of arrivals at a Walmart checkout