NORMAL DISTRIBUTION 1. Find the distribution: a. b. c. d. e. f. following probabilities‚ the random variable Z has standard normal P (0< Z < 1.43) P (0.11 < Z < 1.98) P (-0.39 < Z < 1.22) P (Z < 0.92) P (Z > -1.78) P (Z < -2.08) 2. Determine the areas under the standard normal curve between –z and +z: ♦ z = 0.5 ♦ z = 2.0 Find the two values of z in standard normal distribution so that: P(-z < Z < +z) = 0.84 3. At a university‚ the average height of 500 students of a course is 1.70 m; the standard
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C H A P T E R 6 The Normal Distribution Objectives Outline After completing this chapter‚ you should be able to 1 2 3 Identify distributions as symmetric or skewed. 4 Find probabilities for a normally distributed variable by transforming it into a standard normal variable. Introduction 6–1 Normal Distributions Identify the properties of a normal distribution. Find the area under the standard normal distribution‚ given various z values. 5 Find
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Our daycare consists of children from the age 1-4 years old and at this age physical development is really important because this is a big stage where they start developing muscles including fine motor skills‚ gross motor skills‚ sleeping and eating. With that broad area of skills a lot of challenges are faced while children spend this time in their life learning how to control their body. Muscle development is divided into two groups with fine motor skills and gross motor skills. Fine motor
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SALES AND DISTRIBUTION MANAGEMENT ASSIGNMENT MORGAN & BOSS OFFICE EQUIPMENT DIVISION SUBMITTED BY ANGANA (F13005) ASHISH CHANDY (F13015) CHRISTINA IMMACULATE (F13021) DHANYA ANN ROY (F13025)
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Normal Distribution Normal distribution is a statistics‚ which have been widely applied of all mathematical concepts‚ among large number of statisticians. Abraham de Moivre‚ an 18th century statistician and consultant to gamblers‚ noticed that as the number of events (N) increased‚ the distribution approached‚ forming a very smooth curve. He insisted that a new discovery of a mathematical expression for this curve could lead to an easier way to find solutions to
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The Poisson distribution is a discrete distribution. It is often used as a model for the number of events (such as the number of telephone calls at a business‚ number of customers in waiting lines‚ number of defects in a given surface area‚ airplane arrivals‚ or the number of accidents at an intersection) in a specific time period. It is also useful in ecological studies‚ e.g.‚ to model the number of prairie dogs found in a square mile of prairie. The major difference between Poisson and Binomial
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Assignment Q1Find the parameters of binomial distribution when mean=4 and variance=3. Q2. The output of a production process is 10% defective. What is the probability of selecting exactly two defectives in a sample of 5? Q3. It is observed that 80% of television viewers watch “Boogie-Woogie” Programme. What is the probability that at least 80% of the viewers in a random sample of five watch this Programme? Q4. The normal rate of infection of a certain disease in animals is known to
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I found the concept on frequency distribution using Google and the search words “frequency distribution” at http://www.mathsisfun.com/data/frequency-distribution.html This website is geared towards younger people and therefore breaks down frequency distribution into very basic terms: values and their frequency (how often each value occurs). The website uses the example of a child’s soccer team and how many goals they scored in recent games. For the assignment this week‚ I have chosen to use the
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Distribution of Income • The fifth macroeconomical goals to ensure that income distribution is equitable. Equitable means fair‚ but fairness is an elusive concept and it means different things to different people. • A more equitable distribution may help to accelerate growth and promote human and economic development in many ways: • The propensity to consume of the poor is higher than that of the rich so redistribution will increase aggregate demand especially for basic goods and services.
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Chapter 158 Distributions to Shareholders: Dividends and Repurchases ANSWERS TO END-OF-CHAPTER QUESTIONS 158-1 a. The optimal distribution policy is one that strikes a balance between dividend yield and capital gains so that the firm’s stock price is maximized. b. The dividend irrelevance theory holds that dividend policy has no effect on either the price of a firm’s stock or its cost of capital. The principal proponents of this view are Merton Miller and Franco Modigliani (MM). They
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