Centre for Education in Mathematics and Computing
Math Circles - February 9, 2011
Steve Brown
Probability Problems Set 1
1. Suppose a die is weighted so that when it is rolled, the probability of seeing any number on the
top face is proportional to the nu

1. Let X be a random variable denoting the hours of life in an electric light bulb. suppose X is
x
1 1000
distributed with density function : f(x) = 1000 e
Find the expected lifetime of such a bulb.
x
1 1000
f(x) = 1000 e
E(x) =
xf (x )
dx
0
Hence, we ha

P u rch ases
and
Paym ent
C y c le
D o c u m e n ts
and
R eco rd s
A u d it T estin g
and
In te rn a l C o n tro l
T r a n s a c tio n - r e la te d
A u d it
O b jec tiv es
P u rch ases
T ra n s ac tio n s
3.
3.1
T ra de
C re d ito rs
In tern al
C o n t

ACCN3015
auditing
2014
Nadeem Mahomed
THE CODE OF PROFESSIONAL CONDUCT
Engagement Acceptance
Client Acceptance
consider firms competence
consider if there is a threat to the
discourages conduct which discredits
to perform engagement
fundamental princip

Exam Techniques
CPC
When you're studying the Code of Professional Conduct. Make sure you're comfortable with the structure
in your books, so you can get more marks in your tests.
Go take a look at each section in the CPC.
o Within the first paragraph, it

Taxation Case Law summaries
(1) Gross income
(1.1) Total amount
CSARS v Brummeria Renaissance
If a taxpayer receives a benefit (interest free loans) and that benefit has an ascertainable value that
accrues to the taxpayer, the taxpayer must include that b

Calculation of
consideration paid
Example 16 (page 61 /
122)
1
Example 16 (p61/122)
Consideration does have to be solely cash.
Consideration can also be settled via:
Transfer of assets
Issue of Ps shares
Deferred payment terms
Or a combination of cash, sh

Consolidated financial
statements
1
Revision
Consolidations
involve the combining the financial
statements of two companies (or more
companies);
where the one company controls the other,
into a single set of financial statements,
in order to increase

Partly owned
subsidiaries
Financial Accounting II
2015
Revision
Consolidation procedures (IFRS 10, B86)
a)
b)
c)
Combine A, L, E, Income, Expenses
and cash flows (P+S Trial balances)
Eliminate carrying amount of P
investment in S against equity in S
Elimi

Consolidated financial
statements
1
Intragroup trading
transactions
E.g. sale of inventory or PPE
Requires consolidation adjustments where the
assets are still owned by one of the companies
within the group
Why adjust?
1. Sales and cost of sales should on

Let's say that I am running a pizza business and my claim is that customers receive their take-out
orders in under 8 minutes.
Ho would I set up my test?
What is my Ho and Ha?
Is this a one tail or two tail test?
How I do I know?
What results would I need

A study of n=120,000 first-time candidates for an exam
found that the number of semester hours of college credit taken by the sampled candidates is summarized by x
. A professor claims that the true mean number of semester hours of college credit taken is

Math 461, Solution to Written Homework 3
1. We have two boxes. One box contains 1 black and 1 white ball, and the other contains
2 black and 1 white ball. A box is selected at random, and a ball is randomly drawn from
the selected box. Find the probabilit

Partial knowledge regarding the outcome of an experiment changes the
probability associated with the event.
Experiment 1: A fair die is rolled by your friend, out of your sight. Let
A = die shows 4.
STAT/MTHE 351: 3 Conditional Probability
and Independenc

Let X be a random variable denoting the hours of life in an electric light bulb. suppose X is
x
1 1000
distributed with density function : f(x) = 1000 e
Find the expected lifetime of such a bulb.
x
1 1000
f(x) = 1000 e
E(x) =
xf (x )
dx
0
Hence, we have

DIRECTIONS: Show your work to earn full credit.
1. The management of a certain insurance company believes that workers are more
productive if they are happy with their jobs. The company regularly conducts surveys, so as to
keep track of the satisfaction o

1. Chi-square test of goodness of fit No preference.
A development psychologist is studying bonding between newborn babies and immediate
family members. He wants to find out if fathers use smell to recognize their one-week-old
infants. To investigate, he

1
Testing for Bivariate Categorical Analysis
Results of your literature review conclude that trust in the police is an integral part of any
democracy. You wish to test whether a relationship between trust in the police and
presence of democracy (measured

1. Scores for a civil service exam are normally distributed and has variance of 47.61. To be eligible
for civil service employment, you have to score in the top 5%. If the lowest score that you can
earn and still be eligible for employment is an 84, what

ADVANCED SUBSIDIARY GENERAL CERTIFICATE OF EDUCATION
ADVANCED GENERAL CERTIFICATE OF EDUCATION
MATHEMATICS
LIST OF FORMULAE
AND
STATISTICAL TABLES
(List MF1)
MF1
CST252
January 2007
Pure Mathematics
Mensuration
Surface area of sphere = 4 r2
Area of curved

Calculation framework
Gross income
xxx
Less: exempt income
(xxx)
Equals income
XXX
Less: deductions and allowances
(xxx)
Less: assessed losses
Plus: taxable capital gains
xxx
Less: Donations to PBO
Equals: taxable income
XXX
Multiply by the tax tables
Equ