1L03 Practice Test #2 - Version #1
1. How many ways can a selection of at least 2 appetizers be made from a selection of 20?
2. Two nickles and 3 dimes are tossed, and the number of heads of each reco
Instructor:Dr.SenayAsma
Stats1L03SampleTest#3 (November16, 2012)
QuestionsandAnswersSheet
Name:_ StudentNumber:_
(LastName)(FirstName)
All solutions must be written on the space provided for the answ
1L03 Test #3 Practice Problems
Corrected - Nov. 9, 2011
Note: This practice set (inherited from previous years) is somewhat heavy on sect. 7.7 problems.
This will NOT be the case for the actual test,
Stats 1L03
Probability and Events
Tree diagram
The probability of each branch is written on the branch
The outcome is written at the end of the branch
We multiply probabilities along the branches
We a
Binominal Distribution
Stats 1L03
Bi = 2; so this is about things with 2 results
E.g. tossing a fair coin 3 times
Results:
P(Three Heads) = P(HHH) = 1/8
P(Two Heads) = P(HHT) + P(HTH) + P(THH) = 1/8 +
Matrices and Linear Properties
Stat 1L03
Matrix
e.g.
Adding = add the numbers in matching position
[1 2; 3 4] + [3 5;1 3] = [1+3 2+5; 3+1 4+3] = [4 7; 4 7]
Multiplying:
A = matrix; k = scalar
kA = k *
Statistics 1L03
Basic diagrams and models
Mean = average = x1 + x2+xn / n
Median = middle value of an ordered set; e.g. 1 2 3 4 5, median = 3
Mode = the value with highest frequency
Variance = E[X^2]
Stats 1L03
Factorials
6! = 1 x 2 x3 x4 x5 x6 = 720
Permutation
Arrangement of events; total ways to arrange something, no repeat; order matters
e.g. arrange 5 different people into 5 seats, how many w
Normal Distribution
Stat 1L03
The famous Bell Curve
Various Properties:
mean = median = mode
symmetry about the center
50% of values less than the mean
50% greater than the mean
68% of values are with
Name: _
Student Number:_
STATISTICS 1L03
Spring Session, 2011
Test #2 - Version 1
Announced Correction in Red
C. McLean
W. Volterman
TERM TEST
DAY CLASS
DURATION OF TEST: 90 min (1.5 hrs.)
MCMASTER UN
Name: _
Student Number:_
STATISTICS 1L03
Spring Session, 2011
Test #3 - Version 3
C. McLean
W. Volterman
TERM TEST
DAY CLASS
DURATION OF TEST: 90 min (1.5 hrs.)
MCMASTER UNIVERSITY TERM TEST
Total Gra
Name: _
Student Number:_
STATISTICS 1L03
Spring Session, 2011
Test #3 - Version 1
Announced Corrections in Red
C. McLean
W. Volterman
TERM TEST
DAY CLASS
DURATION OF TEST: 90 min (1.5 hrs.)
MCMASTER U
Formula Sheet - 1L03 Test #3
Mean
fi
f1
N x i = N x1 +
i
f
f
x = i x i = 1 x1 +
n
i n
=
X =
pi x i =
i
f2
fr
x2 + K + N x r
N
f2
fr
x2 + K +
xr
n
n
p1x1 + p2 x2 + K + pr
1L03 Test #2, Practice Test V1 - Full Solutions
Revised 5:00pm, Oct. 20. 2011 - All Corrections in Red
1. At least two appetizers of 20 means we can have from 2 to twenty.
Now, normally we don't have
Name: _
Student Number:_
MATHEMATICS 1L03
Spring Session, 2011
Test #1 - Version 1
Announced Corrections Added in Red
C. McLean
W. Volterman
TERM TEST
EVENING CLASS
DURATION OF TEST: 90 min (1.5 hrs.)
Solutions to 1L03 Test #1 Sample Test: V1
Corrected Sept. 29, 2011
1. No element is both odd and even (0 is even only) so AB is the empty set, , and n()=0.
_
2. Again, is the empty set, so X = , and (
1L03 Test #1 Version #1
- Full Worked Solutions & Marking Scheme (Modified)
1. [2 marks]
Question: If U = cfw_ 3, 4, 5, 6, 7, 8 , and S = cfw_ 3, 4, 8, write S ' and all subsets of S '.
Solution:
S '
1L03 Test #2, Version #1 - Full Solutions & Grading
1. a) n = 48, power of x = 1 = r, so
n 48
48!
= 48
= =
r 1 47! 1!
b) Again, n = 48, power of x = 1 = r, so
n 48
48!
48(47)(46)(45)(44)(43)(42)
1L03 Test #1 Sample Test: V1
Updated Sept. 25, 2013
1. Let A = cfw_Odd integers between -6 and 8 and B=cfw_Even integers between -6 and 8. What is n(AB)?
2. How many elements are in (X ) ?
3. Let A an
1L03 Test #3 Practice Set 1 - Full Solutions
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