MXB107 (S1/16) Exam details
Date & time: Check QUT Virtual
[currently Tues 21/6 @ 1:30pm but re-check in previous week]
Duration: 3 hrs working + 15 mins perusal
Materials: any written / printed materials
[NOT electronic]
any calculator
tables supplied
WORKSHOP 6
What is a Confidence Interval, really?
GENERAL SET-UP:
Population parameter, , of interest.
Rather than good guess, want likely range
for .
Specifically, use data to construct two values:
L(X1,Xn)
&
U(X1,Xn)
such that Pr(L < U) = 1.
WORKSH
WORKSHOP 1
Determining Data Types and
Structures
The most important skill to develop early on is
the ability to determine the structure and type
of the data inherent in any situation.
We will spend the first part of todays workshop
practicing this skill b
WORKSHOP 2
Identifying Designs, Biases and Accuracy
Issues
1.Boiling Point Data
In the 19th century, the physicist James Forbes
boiled water at 17 campsites in the Alps. At each
site, he recorded the altitude above sea level and
also the temperature at wh
1
QUESTION 1
At the latest national powerlifting meet there are there stands of independent start-ups selling their
own special blend of protein powder (Pea-werful Protein, Soy Muscular and Whey-lifter). At
the end of the meet each of the stands submit a
MXB101
Worksheet 4
A) Questions for Group Work (compulsory)
The following 6 questions are meant to be solved in your group between Friday
Week 4 and Friday Week 5. Out of these 6 questions, questions 2 and 5 are part of
Assignment 2 and question 6 is part
MXB101
Worksheet 2
A) Questions for Group Work (compulsory)
The following 6 questions are meant to be solved in your group between Friday Week 2 and the
lecture on Wednesday Week 3. Out of these questions, questions 2, 3 and 4 are part of
Assignment 1, wh
MXB101: Worksheet Solutions Section 3
A) Questions for Group Work (compulsory)
1. Events: N := Nancy is within earshot of her pager (i.e., responds to her pager)
R := Ronald responds to his pager
Probabilities:
Pr ( N ) = 0.8, Pr ( R ) = 0.5 .
We want the
MXB101
Worksheet 1
A) Questions for Group Work (compulsory)
The following 6 questions are meant to be solved in your group between Friday Week 1 and
Wednesday Week 2. Out of these 6 questions, questions 3 and 6 are part of Assignment 1,
which is due by 8:
MXB101
Worksheet 3
A) Questions for Group Work (compulsory)
The following 5 questions are meant to be solved in your group between Friday Week 3
and Wednesday Week 4. Out of these 5 questions, questions 3, 4 and 5 are part of
Assignment 2, which is due by
MXB101
Worksheet 6
A) Questions for Group Work (compulsory)
The following 5 questions are meant to be solved in your group between Wednesday
Week 8 and Friday Week 9. Out of these 5 questions, questions 1, 2 and 4 are part
of Assignment
MXB101: Worksheet Solutions Section 1
A) Questions for Group Work (compulsory)
1.
(i)
E1 E 2 E 3 (Note if we know substance must be one of the 6, rather
than just may be, then this is E 2 E3 ).
(ii)
E1 E3 (Remember that, alternatively, the sign can always
MXB101: Worksheet Solutions Section 4
A) Questions for Group Work (compulsory)
1.
(i)
E ( X ) = ( 0 0.08 ) + (1 0.32 ) + ( 2 0.3) + (3 0.13 ) + ( 4 0.1)
+ ( 5 0.04 ) + ( 6 0.02 ) + ( 7 0.01)
= 2.1
(ii)
2
Var ( X ) = E ( X 2 ) E ( X ) with
E ( X 2 ) = ( 0
MXB101
Worksheet 5
A) Questions for Group Work (compulsory)
The following 5 questions are meant to be solved in your group between Friday Week 6
and Friday Week 7. Out of these 5 questions, questions 2, 3 and 4 are part of
Assignment 3 and question 5 is p
Solutions Worksheet Section 5
A) Questions for Group Work (compulsory)
1. Let X be the number of girls out of 10 that Bert engages in conversation with
following the use of the pick-up line. Then X ~ B(10, 0.5).
(i) 1 = 1 = 0 = 1 0.5!" = 0.999
MXB101: Solutions Section 7
A) Questions for Group Work (compulsory)
2. Let be number of times per week there is a problem with the server.
Test H! : ~ Poisson() vs H! : not Poisson()
We decide that we will reject the null hypothesis if th
MXB101
Worksheet 7
A) Questions for Group Work (compulsory)
The following 3 questions are meant to be solved in your group by Wednesday 7th May. Out of
these 3 questions, Question 1 is part of Assignment 4, which is due on Wednesday Week 10
(6th May) by c
MXB101
Worksheet 8
A) Questions for Group Work (compulsory)
The following 4 questions are meant to be solved in your group by Friday 15th
May. Out of these 4 questions, Question 3 and Question 4 are part of
Assignment 5 (in addition to the Part II of Assi
MXB101: Solutions Section 9
A) Questions for group work (compulsory)
2(i) Let ! and $ be the conviction times for manslaughter and armed robbery,
respectively.
So X ~ N(8, 52 ) and Y ~ N(6, 32) and P(! < $) = P(X Y < 0) = 0.4.
With our formulas for the ex
MXB101
WORKSHEET FOR SECTION 9
A) Questions for Group Work (compulsory)
The following 4 questions are meant to be solved in your group by Wednesday 27th May.
Out of these 4 questions, Questions 1, 2 and 4 wou
MXB101: Worksheet Solutions Section 2
A) Questions for Group Work (compulsory)
[The Group Work questions that are part of Assignment 1 will come in a separate
document.]
1. (1) P(Exactly i) = P( Ai Ai 1 )
= P( Ai ) P( Ai Ai 1 )
(due to axiom 3, as
= P( Ai
MXB101: Worksheet Solutions Section 6
A) Group Work questions (compulsory)
3. (i) Let be the number of defective fuses in 200.
Then ~ Bin(200, 0.02) with E() = 4
Use Poisson(4) to approximate Pr( = 6) 0.2149 0.1107 = 0.1042
(ii) Let be the
MXB101: Worksheet Solutions Section 8
A) Questions for Group Work (compulsory)
1. (i)
X n can take the values 0,1, 2, 3 with the probability transition matrix given
below
0.5 0.4 0.06 0.04
0.5 0.4 0.06 0.04
P=
0 0.5 0.4 0.1
0
0.5 0.5
0
(ii)
The equ
Exercise Routine
WARM UP:
- Run on treadmill for 20 mins or go for a run
MAIN EXERCISES:
LEGS:
- 20 Squats
- 30 Walking Lunges
- 30 Butt Raises
- 40 Calf Raises
- 50 Second Wall Squat
- 30 Jumping Lunges
- 50 Second Wall Squat
- 40 Sumo Squats (with weigh
Exercise Routine
WARM UP:
- Run on treadmill for 20 mins or go for a run
MAIN EXERCISES:
LEGS:
- 20 Squats
- 30 Walking Lunges
- 30 Butt Raises
- 40 Calf Raises
- 50 Second Wall Squat
- 30 Jumping Lunges
- 50 Second Wall Squat
- 40 Sumo Squats (with weigh
Exercise Routine
WARM UP:
- Run on treadmill for 20 mins or go for a run
MAIN EXERCISES:
LEGS:
- 20 Squats
- 30 Walking Lunges
- 30 Butt Raises
- 40 Calf Raises
- 50 Second Wall Squat
- 30 Jumping Lunges
- 50 Second Wall Squat
- 40 Sumo Squats (with weigh
Exercise Routine
WARM UP:
- Run on treadmill for 20 mins or go for a run
MAIN EXERCISES:
LEGS:
- 20 Squats
- 30 Walking Lunges
- 30 Butt Raises
- 40 Calf Raises
- 50 Second Wall Squat
- 30 Jumping Lunges
- 50 Second Wall Squat
- 40 Sumo Squats (with weigh
Exercise Routine
WARM UP:
- Run on treadmill for 20 mins or go for a run
MAIN EXERCISES:
LEGS:
- 20 Squats
- 30 Walking Lunges
- 30 Butt Raises
- 40 Calf Raises
- 50 Second Wall Squat
- 30 Jumping Lunges
- 50 Second Wall Squat
- 40 Sumo Squats (with weigh
Exercise Routine
WARM UP:
- Run on treadmill for 20 mins or go for a run
MAIN EXERCISES:
LEGS:
- 20 Squats
- 30 Walking Lunges
- 30 Butt Raises
- 40 Calf Raises
- 50 Second Wall Squat
- 30 Jumping Lunges
- 50 Second Wall Squat
- 40 Sumo Squats (with weigh