Question1: Frequency Distribution. Histograms‚ Cumulative Frequency and Ogives. 1) a) 799 b) 1000 c) 900+9992 = 949.5 d) Lower Class Boundary=1100-0.5 =1099.5 Upper Class Boundary=1199.5+0.5=1199.5 e) 100 f) 76 g) 62400×100=15.5 h) 600-699‚ the fourth class has the largest frequency of 76. i)14+46+58400 ×100=29.5% j) 48+22+6400 ×100=19.0% k) 4002=200 200 lie in the fifth class interval 700-799 ∴The median lies in this interval. =l+n2-cff×h =700+200-19468×99 =708.735 l)
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B 1 C ) = 12 . [4] 3 Claim sizes in a certain insurance situation are modelled by a distribution with moment generating function M(t) given by M(t) = (1 10t) 2. Show that E[X 2] = 600 and find the value of E[X 3]. 4 Consider a random sample of size 16 taken from a normal distribution with mean = 25 and variance 2 = 4. Let the sample mean be denoted X . State the distribution of X and hence calculate the probability that X assumes a value greater than 26. 5 [3] [3]
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LocatingMiddlemen The search for prospective middlemen should begin with study of the market and determination of criteria for evaluating middlemen servicing that market. The company ’s broad policy guidelines should be followed‚ but expect expediency to override policy at times. The checklist of criteria differs according to the type of middlemen being used and the nature of their relationship with the company. Basically‚ such lists are built around four subject areas: (1) productivity or
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Returns 1 RETURNS Prices and returns Let Pt be the price of an asset at time t. Assuming no dividends the net return is Pt Pt − Pt−1 −1= Rt = Pt−1 Pt−1 The simple gross return is Pt = 1 + Rt Pt−1 Returns 2 Example: If Pt−1 = 2 and Pt = 2.1 then 2.1 Pt 1 + Rt = = = 1.05 and Rt = 0.05 Pt−1 2 Returns 3 The gross return over k periods (t − k to t) is 1 + Rt (k) := Pt−1 Pt−k+1 Pt Pt ··· = Pt−k Pt−1 Pt−2 Pt−k = (1 + Rt ) · · · (1 + Rt−k+1 ) Returns are • scale-free‚ meaning that they do not depend
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1. What is the difference between “typical” and “normal?” * Normal distribution coincides with the bell curve‚ Majority in the middle average * Typical describes what it considered customary or expected‚ considered normal but they are not truly synonymous 2. What is the difference between formal and informal tests? Standardized and criterion referenced? Behavioral and objective or instrumental? Standardized testing compares patients performance to that of peers; same test given
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Quantitative Methods Prof. L. Shridharan PRACTICE PROBLEMS 1. (a) What is the probability that a leap year selected at random will contain 53 Tuesdays? (b) What is the probability that a leap year selected at random will contain 53 Sundays or 53 Mondays? 2. A bag contains 8 black‚ 3 red and 9 white balls. If 3 balls are drawn at random ‚ find the probability that (a) all are black‚ (b) 2 are black and 1 is
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FAMILY NAME: . . . . . . . . . . . . . . . . . . . . . . . . . . . . OTHER NAME(S):. . . . . . . . . . . . . . . . . . . . . . . . . . STUDENT NUMBER: . . . . . . . . . . . . . . . . . . . . . . SIGNATURE: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . THE UNIVERSITY OF NEW SOUTH WALES SCHOOL OF MATHEMATICS AND STATISTICS June 2011 MATH2089 Numerical Methods and Statistics (1) TIME ALLOWED – 3 Hours (2) TOTAL NUMBER OF QUESTIONS – 6 (3) ANSWER ALL QUESTIONS (4) THE QUESTIONS
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deviation of a normally distributed variable. Such inferences are based on a distribution called the chi-square distribution. Chi is a Greek letter whose lowercase form is χ. A variable has a chi-square distribution if its distribution has the shape of a special type of right-skewed curve‚ called a chi-square (χ2) curve. Actually‚ there are infinitely many chi-square distributions‚ and we identify the chi-square distribution (and χ2-curve) in question by its number of degrees of freedom. Basic Properties
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All electronic materials are available on the student website. Week One: Working With Numbers and Formulas | | Details | Due | Points | Objectives | 1.1 Write mathematical expressions and equations for word problems.1.2 Apply the rules for order of operations‚ including exponents‚ in solving problems.1.3 Identify dependent and independent variables and their relationships. | | | Readings | Read Ch. 1–3 of Prealgebra & Introductory Algebra.Review University of Phoenix Material:
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Management 1. Introduction 2. Statistical Survey 3. Classification‚ Tabulation & Presentation of data 4. Measures used to summarise data 5. Probabilities 6. Theoretical Distributions 7. Sampling & Sampling Distributions 8. Estimation 9. Testing of Hypothesis in case of large & small samples 10. Chi-Square 11. F-Distribution and Analysis of variance (ANOVA) 12. Simple correlation and Regression 13. Business Forecasting 14. Time Series Analysis 15 . Index Numbers Indian B2B site for Manufacturers
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