Jessica McWater Narrative Essay Mrs. Wilson Online Draft #1 ENGL1113-NT 12 September 2014 Death isn’t easy‚ in fact it’s quite hard Roughly 153‚000 people died on February 25‚ 2013‚ but I have to say the most important and devastating death was my Papa. Wayne Kepner was a man everyone that had the pleasure of meeting loved. He was the most amazing man I have ever‚ or will ever know. Until that day I’d known many people that passed away; family‚ friends and acquaintances. But‚
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which we can replace them to polar coordinate Thus Mean By symmetry if g(x) is odd function g-x=-g(x) then -abgxdx=0 Variance Notation CDF is standard Normal CDF by symmetric ‚CDF ‚ ‚ All the odd moment of standard normal are zero. However‚ even moment is not easy to calculate by integral (Symmetry) Then we say Most of Statistics books will write the pdf then explain the mean and variance but it is not intuitive. Standardization Find PDF of CDF: The
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and what he saw a dead body on the floor and that was his wife. It was witching hour on a dark moonless night. He was holding his wife body in his arms‚ kissing and crying. Suddenly‚ he heard their voices downstairs again. He stopped crying for a moment. He didn’t know that was his last day of his life. The phone rang once again and answered itself saying” remembered Oct 4th at 2 am”. John knew that day and time very well because he accidentally murdered a married couple on this day. He and his wife
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baked cookies filled the air‚ as the jolly music played in the background. People are wearing colourfully knitted scarfs and sweaters. The golden sun was always shining in the clear blue sky. Those were the days I will never forget. That special moment when nana pulled out the golden‚ crispy turkey is when you know it’s Christmas time. The lit-up streets were full of dancing‚ bright Santa’s. Every house had flickering‚ blinding lights that made every minute the most exciting yet. There is always
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HITEC UNIVERSITY Three Point Bending Test By Group#04 Members Name Usman Rasheed (ME-131) Sarnad Ali Shah (ME-108) Farrukh Muhummad Aoun (ME-30) Shahzaib bakht (ME-84) Hafiz Abdul Hadi ()ME-32 A PROJECT SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE COURSE OF MECHANICS OF MATERIALS IN MECHACNICAL ENGINEERING B.Sc. Mechanical Engineering HITEC UNIVERSITY January‚ 2011 Projector Supervisor’s: Mr. Sheharyar Malik Taxila‚ Pakistan January‚ 2011 ABSTRACT
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Backward Bending Slutsky Equation In the Labor Supply Model‚ consumer has a choice between consumption and leisure. If they were to reduce their leisure and allocate more time working‚ they will be able to consume more. The amount of labor and consumption are determined by the interaction of consumer’s preferences and budget constraint. In this model‚ the utility function to be maximized is U(C‚L)‚ where individual cares about consumption (C) and leisure (L). The utility function is subjected
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Normal Distribution:- A continuous random variable X is a normal distribution with the parameters mean and variance then the probability function can be written as f(x) = - < x < ‚ - < μ < ‚ σ > 0. When σ2 = 1‚ μ = 0 is called as standard normal. Normal distribution problems and solutions – Formulas: X < μ = 0.5 – Z X > μ = 0.5 + Z X = μ = 0.5 where‚ μ = mean σ = standard deviation X = normal random variable Normal Distribution Problems and Solutions – Example
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Mean of a log normal random variable: Theorem 1: Suppose Y = ln X is a normal distribution with mean m and variance v‚ then X has mean exp( m + v /2 ) Proof: The density function of Y= ln X Therefore the density function of X is given by Using the change of variable x = exp(y)‚ dx = exp(y) dy‚ We have = Note that the integral inside is just the density function of a normal random variable with mean (m-v) and variance v. By definition‚ the integral evaluates to be 1. Proof of Black Scholes
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ROP based on Normal Distribution of LT demand -Example No. 1 Example : Suppose that the manager of a construction supply house determined from historical records that demand for sand during leadtime averages 50 tons. In addition‚ suppose the manager determined that the demand during leadtime could be described by a normal distribution that has a mean of 50 tons and a standard deviation of 5 tons. Answer the following questions‚ assuming that the manager is willing to accept a stockout risk of no
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Problem Sheet - I 1. Researcher conducted by a tobacco company indicates that the relative frequency distribution of tar content of its newly developed low-tar cigarette has a mean equal to 3.9 milligrams of tar per cigarette and a standard deviation equal to 1.0 milligram. Suppose a sample of 100 low-tar cigarettes is randomly selected from a day’s production and the tar content is measured in each. Assuming that the tobacco company’s claim is true‚ what is the probability that the mean
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