Today’s Topics. Preventing Fraud-Part II Eliminating opportunities for fraud Dealing with Fraud . 7 Methods of Risk Reduction. Install good internal controls Discourage collusion Alert vendors and contractors Monitor employees Provide tip hotlines Create expectation of punishment

ByToday’s Topics. Preventing Fraud-Part II Eliminating opportunities for fraud Dealing with Fraud . 7 Methods of Risk Reduction. Install good internal controls Discourage collusion Alert vendors and contractors Monitor employees Provide tip hotlines Create expectation of punishment

ByLiterary Device. Tool used by the author to enliven and provide voice to the text. Figurative Language. Language that cannot be taken literally since it was written to create a special effect or feeling. Sound Devices.

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EXPECTATION. (Matthew 18:21) . Then Came Peter to Him. a nd s aid. Lord , how oft shall my brother sin against me, and I forgive him? . till seven times ?. The Question Is. What Is My Responsibility To My Brother?. How Does Jesus Expect Us To Treat Others?. Do I Have To Forgive

Expectation. Random Variables Graphs and Histograms Expected Value. Random Variables. A random variable is a rule that assigns a numerical value to each outcome of an experiment. We will classify random variables as either

Expectation. Let X denote a discrete random variable with probability function p ( x ) (probability density function f ( x ) if X is continuous ) then the expected value of X, E ( X ) is defined to be:. and if X is continuous with probability density function f ( x ).

Expectation. for multivariate distributions. Definition. Let X 1 , X 2 , …, X n denote n jointly distributed random variable with joint density function f ( x 1 , x 2 , …, x n ) then. Example.

Expectation. Feedback. Do you think the present situation is satisfactory?. No Problems?..?. No Problems!. Any Improvement?..?. P. A. D. C. Make Improvement. Kaizen. (Make it Better). Problem Solving Problem Definition . Problem. In search of Opportunity.

Expectation. Expected value:. Expectation of Sum of R.V. X and Y r.v. with joint pdf p(x,y) : Example: R = the return on the S&P500 each day (continuously compounded) Distributed according to h ( r ) What is the return over two days?. Expectation of Sum of R.V. In general,

Expectation. OBJECTIVE. Find Expected Value of a Distribution. Find the probability of a Binomial distribution. RELEVANCE. Be able to find probabilities of discrete random variables. Definition……. Expected value of a discrete random variable is equal to the mean of the random variable.

Expectation. for multivariate distributions. Definition. Let X 1 , X 2 , …, X n denote n jointly distributed random variable with joint density function f ( x 1 , x 2 , …, x n ) then. Example.

EXPECTATION. (Matthew 18:21). Then Came Peter to Him. a nd s aid. Lord , how oft shall my brother sin against me, and I forgive him?. till seven times ?. The Question Is. What Is My Responsibility To My Brother?. How Does Jesus Expect Us To Treat Others?. Do I Have To Forgive