UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level Advanced International Certificate of Education MATHEMATICS STATISTICS Paper 6 Probability & Statistics 1 (S1) May/June 2004 1 hour 15 minutes Additional materials: Answer Booklet/Paper Graph paper List of Formulae (MF9) 9709/06 0390/06 READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet‚ follow the instructions on the front cover of the Booklet
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separately in order to compute the total accumulation. The following equations and variables are used in question a) Year 1 Year 2 Year 3 Year 4 Year 5 Therefore‚ after 5 years the debt-to-GDP ratio will be equal to 104‚8 % (rounded to one decimal) b) The debt is not sustainable. The criteria to test whether debt is sustainable is as follows: Plotting in the known variables results in the following: Solving for b gives the following: Therefore‚ the
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Michael Lewis PT 1420 Intro to Programming Unit 2 Research (Variable Naming Rules) Python: Must begin with a letter (a - z‚ A - B) or underscore (_); other characters can be letters‚ numbers or _; Case Sensitive; Can be any (reasonable) length; There are some reserved words which you cannot use as a variable name because Python uses them for other things. Visual Basic: You must use a letter as the first character. You can’t use a space‚ period (.)‚ exclamation mark (!)‚ or the characters @‚ &‚
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Carchidi March 14‚ 2013 Chapter 7 - Random-Number Generation Random number are a necessary basic ingredient in the simulation of almost all discrete systems. You may never have to write a computer program to generate random numbers because all simulation software have built-in subroutines‚ objects‚ or functions that will generate random numbers. However‚ it is still important to understand the basic ideas behind the generation (and testing) of random numbers. These random numbers are then used (Chapter
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classification of 950 cars model. Model 2-door 4-door Automatic 135 351 Manual 251 213 If a car is picked at random from the fleet‚ calculate the probability that it is: (i) automatic‚ (2 marks) (ii) automatic or 2-door‚ (2 marks) (iii) manual and 4-door‚ (2 marks) (iv) 2-door given that it is manual transmission. (2 marks) 4. Consider a random variable M with the probabilities specified in the following figure: k 3 6 9 12 15 P (M = k) (i) Find E (M)
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QUEUEING THEORY AND ITS APPLICATION TO ROAD TRAFFIC CONGESTION BY CHIEDU NELSON CALED PSC060774 A PROJECT WORK PRESENTED TO THE DEPARTMENT OF MATHEMATICS‚ FACULTY OF PHYSICAL SCIENCE‚ UNIVERSITY OF BENIN IN PARTIAL FULFILMENT OF THE REQUIREMENT OF THE AWARD OF BACHELOR OF SCIENCE (B.SC) (COMBINED HONOURS) DEGREE IN STATISTICS AND COPMPUTER NOVEMBER 2012. CERTIFICATION This is to certify that this project was carried out by CHIEDU NELSON CALEB of the Department of Mathematics
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Discrete Probability Distribution Confidence Intervals Calculations for a set of variables Open the class survey results that were entered into the MINITAB worksheet. We want to calculate the mean for the 10 rolls of the die for each student in the class. Label the column next to die10 in the Worksheet with the word mean. Pull up Calc > Row Statistics and select the radio-button corresponding to Mean. For Input variables: enter all 10 rows of the die data. Go to the Store result in: and select the
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Question 1 0 out of 2 points | | | Opportunistic behavior on the part of the employer is possible because:Answer | | | | | Selected Answer: | employees often reduce their effort level if they are important to the company. | Correct Answer: | contracts are often incomplete and leave room for implicit understandings between the two parties. | | | | | Question 2 0 out of 2 points | | | In long-term job attachments‚ a worker’s wage:Answer | | | | | Selected Answer:
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following represents a difference between continuous and discrete random variables? a. Continuous random variables assume an uncountable number of values‚ and discrete random variables do not. b. The probability for any individual value of a continuous random variable is zero‚ but for discrete random variables it is not. c. Probability for continuous random variables means finding the area under a curve‚ while for discrete random variables it means summing individual probabilities. d. All of these
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ECE 4110: Random Signals in Communications and Signal Processing ECE department‚ Cornell University‚ Fall 2013 Homework 2 Due September 20 at 5:00 p.m. 1. (Chebyshev Inequality) Let X1 ‚ . . .‚ X be independent Geometric random variables with parameters p1 ‚ . . . ‚ p respectively (i.e.‚ P (Xi = k) = pi (1 − pi )k−1 ‚ k = 1‚ 2‚ . . .). Let random variable X to be X= i=1 Xi . (a) Find µX = E[X]. (b) Apply the Chebyshev inequality to upper bound P (|X − µX | > a). Evaluate your upper bound
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