UNIVERSITY OF CALGARY
DEPARTMENT OF MATHEMATICS AND STATISTICS
Prepared by: Bingrui (Cindy) Sun
STAT 213L01 Midterm Exam 1 March 9/10 Winter 2015 Total: 33
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Rest of Week 6 and part of Week 7!
1
Expected value for independent random variables
Z = aX + bY
E(Z ) = E(aX + bY ) = aE(X) + bE(Y ) = a X + bY
Z = aX bY
E(Z ) = E(aX bY ) = aE(X) bE(Y ) = a X bY
Variance for independent random variables
Z = aX + bY
V
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Week 5 notes!
1
Sometimes its easier to find the probability of the complement of event A then the
probability of event A.
Example: Independant
Find the probability of getting at least 1 head in three tosses of a fair coin.
P(at least 1) = P(1 head) + P
Conditional Probability and Independence
The probability of an event will often depend upon whether we know that other events
have occurred.
For example, Florida sport shermen are vitally interested in the probability of rain. The
probability of rain on a
Stat 213 1
Practice Lab #2: Introduction to MINITAB
Statistics, Data, and Statistical Thinking, Methods of Describing Sets of Data
Login with your IT ID and password. If you do not have one, get one immediately because you will need
to use the computer in
Chao Qiu
F2014STAT213L02L04
assignment 5 due Oct 26 is due on Sunday, October 26, 2014 at 11:30pm.
The number of attempts available for each question is noted beside the question. If you are having trouble guring out your error,
you should consult the tex
UNIVERSITY OF CALGARY
Department of Mathematics and Statistics
STAT 213-L01
Sample Midterm Exam 2
First Name:
April 1
Winter 2015
Last Name:
UC ID:
No cellphones. No internet except http:/people.ucalgary.ca/sunb/. Only the
exam papers, Minitab, pencils/pe
Amy Broddy
W2015STAT213L04
Assignment 5 is due on Sunday, March 22, 2015 at 11:59pm.
The number of attempts available for each question is noted beside the question. If you are having trouble guring out your error,
you should consult the textbook, or ask
Homework 1
2. (2 pts) For each problem, select the best response.
(a) A study of the effects of running on personality involved
231 male runners who each ran about 20 miles a week. The runners were given the Cattell Sixteen Personality Factors Questionnai
Or
_(A _ B)= P(A)l + P(B)— P(A n B) _(A n B)= P(A)- P(B | A)
If events A and B are
Mutually Exclusive,then
P(A HB)= O
and
If events A and B are
independent. then
P(BIA)= P(B)
_(A U B)= P(A) + P(B) _(A _ B)= P(A) P(B)
Determining Sample Size for Confident Estimates
The histogram given above summarized the data collected from a cluster random
sample of n = 109 students taking Statistics 213 in the Fall 2014 academic term.
= 8.70,
= 5.0,
= 11.0
(a) Find a 95% confid
Lectures 15, 16 and 17
1
Types of Discrete Random Variables
Bernoulli Trials
Characteristics of a Bernoulli Trial
1. The trial results in one of two mutually exclusive outcomes. We denote one outcome as a
success and the other as a failure.
2. The probabi
Lecture notes 1823
1
Review
Discrete Probability Distribution
Requirements for P(X) to be a discrete probability distribution
1. ! all x P(X = x) = 1 where x assumes all possible values
2. ! 0 P(X = x) 1 for every value of x
To find a probability, we look
E(X) = = x i p(x)
V (X) = 2 = x 2 i p(x) 2
P(X = x) = n C x i p x (1 p)nx
E(X) = = n i p
V (X) = 2 = n i p i (1 p)
e i x
x!
E(X) = =
P(X = x) =
V (X) = 2 =
P(X = x) =
r
N
r
V (X) = 2 = n i
N
E(X) = = n i
r
C x i N r Cnx
N Cn
r N n
i 1
N N 1
E(X) = = n
Practice Lab Test
Disclaimer: Just because a topic is not asked on these practice questions does not mean it will
not be on the lab test. It will take you longer than 50 minutes to do all of these questions but it is
a very good review of the material.
Ex
!
Practice questions for midterm #1 !
1
Disclaimer: Just because a topic is not asked on these practice questions does not mean it will
not be on the midterm. It will take you longer than 60 minutes to do all of these questions but it
is a very good revie
!
Practice questions for midterm #2!
1
Disclaimer: Just because a topic is not asked on these practice questions does not mean it will
not be on the midterm. It will take you longer than 50 minutes to do all of these questions but it
is a very good review
!
Old nal solutions!
1
Question 1:
(a)
! or ! !
!
!
(b) skewed left
(c) All diabetic patients
(d) median- data is skewed left so the mean would not be a good representation of the
centre of the data median= 7.2
(e) P25 = 63
Question 2:
(a) Stratied (rando
M 225
Test 1
A
Name_
(1 point)
SHOW YOUR WORK FOR FULL CREDIT!
Problem 1-14 15 16 17 18 19 20 21 22 Total
Max. Points 14 3 5 4 4 11 9 8 16 75
Your Points
1
Multiple choice questions (1 point each)
1. Look at the following histogram for salaries of basebal
Introducing and Understanding Data
Variation, Varies, Variable, Variability, VarianceVarity!
Examine the following characters:
q Both represent the letter A, but how do they vary?
q How does your writing vary from your neighbors writing?
q But more import
Special Cases of Discrete Random Variables: Hypergeometric
distribution
In probability theory and statistics, the Binomial distribution is the discrete probability
distribution of the number of successes in a sequence of n independent yes/no
(Bernoulli) e
Special Cases of Discrete Random Variables: Bernoulli distribution
In probability theory and statistics, the Bernoulli distribution, named after Swiss scientist
Jacob Bernoulli, is the probability distribution of a random variable which takes value 1
with
Special Cases of Discrete Random Variables: Poisson distribution
In probability theory and statistics, the Poisson distribution, named after French
mathematician Simon Denis Poisson, is a discrete probability distribution that expresses
the probability of
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Introduction to Probability
In everyday conversation, the term probability is a measure of ones belief in the
occurrence of a future event. We accept this as a meaningful and practical interpre
Numerical Summaries; Center and Variation
Central Tendency and Expected Value (Center)
Earlier you learned that we could characterize the typical value of a distribution by the
center of the distribution.
However, assigning a number to the center is not a
Special Cases of Continuous Random Variables: Exponential
distribution
In probability theory and statistics, the exponential distribution (a.k.a. negative
exponential distribution) is the probability distribution that describes the time between
events in
\ w
a) ,
MEN
W
()P
Assigning Probability and Counting Techniques
Formal definition for probability:
Denition: Suppose S is a sample space associated with an experiment. To every event A
in S (A is a subset of S), we assign a number, P(A), called the prob
Name
Bob
Terry
Frank
Rita
Ethel
Barbara
Annual Income
$30,000.00
$45,000.00
$35,000.00
$120,000.00
$25,000.00
$350,000.00
PLEASE MAKE SURE THE ANSWERS ARE IN THE "CURRENCY" FORMAT
1. Name the cell containing Terry's salary "Terry"
2. Sum of all salaries:
Name
Bob
Terry
Frank
Rita
Ethel
Barbara
Annual Income
$30,000.00
$45,000.00
$35,000.00
$120,000.00
$25,000.00
$350,000.00
PLEASE MAKE SURE THE ANSWERS ARE IN THE "CURRENCY" FORMAT
1. Name the cell containing Terry's salary "Terry"
$45,000.00
2. Sum of all
Part A
Student Name:
YIFAN NING
Lecture #
MGST-217-05
Your assignmnet mark is soley based on your answers the questions
on the Assignment Part A Quiz on D2L (10 marks). Once you complete
the quiz hand in your file in the Assignment Part A Dropbox.
Note 1:
There are 16 marks avaiable on the Worksheet for Marks. 1 mark for formating the
the Income Statement correctly, and 14 marks for filling in the best practices cell re
the yellow boxes.
Use the numers below to complete the Worksheet for Marks
Price
Compon
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1! of !6
< Q1 >
Given the following information, answer the following questions:
X = Number of Gifts, Sx = 3.41, x = 8.6
Y = Age, Sy = 5.83, y = 10.7
(XY) = 781, n= 10
Gifts = cfw_15, 10, 9, 13, 5, 8, 8, 8, 6, 4
age = cfw_3, 4, 6, 8, 10,