. . . . . . . . . . . . . . . . . . . . 1.1.4 A fundamental inequality . . . . . . . . . . . . . . . . 1.1.5 Maximizing entropy . . . . . . . . . . . . . . . . . . . 1.1.6 Joint entropy of two sources of information . . . . . . 1.1.7 Entropy for random vectors . . . . . . . . . . . . . . . 1.1.8 Uniquely-decodable codes‚ prefix-free codes and KraftMcMillan inequality . . . . . . . . . . . . . . . . . . . 1.1.9 Source coding theorem . . . . . . . . . . . . . . . . . . 1.1.10 Main plot and conclusions
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90% of the time. For the next 10 products‚ the probability that he makes fewer than 2 incorrect inspections is 0.736. Answer Selected Answer: True Correct Answer: True Question 3 5 out of 5 points A continuous random variable may assume only integer values within a given interval. Answer Selected Answer: False Correct Answer: False Question 4 0 out of 5 points A decision tree is a diagram consisting of circles decision nodes‚ square
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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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CIMA’S Official Study System Revised edition relevant for 2005/2006 Computer based assessment Certificate Level Business Mathematics Sandra Peers AMSTERDAM BOSTON HEIDELBERG PARIS SAN DIEGO SAN FRANCISCO LONDON NEW YORK SINGAPORE SYDNEY OXFORD TOKYO CIMA Publishing An imprint of Elsevier Linacre House‚ Jordan Hill‚ Oxford OX2 8DP 30 Corporate Drive‚ Burlington‚ MA 01803 First published 2005 Copyright # 2005‚ Elsevier Ltd. All rights reserved No part of this publication
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| Basic math symbols Symbol | Symbol Name | Meaning / definition | Example | = | equals sign | equality | 5 = 2+3 | ≠ | not equal sign | inequality | 5 ≠ 4 | > | strict inequality | greater than | 5 > 4 | < | strict inequality | less than | 4 < 5 | ≥ | inequality | greater than or equal to | 5 ≥ 4 | ≤ | inequality | less than or equal to | 4 ≤ 5 | ( ) | parentheses | calculate expression inside first | 2 × (3+5) = 16 | [ ] | brackets | calculate expression inside first
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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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(d) Legal risk (e) Systemic risk The range μ ± 2σx contains: (a) 68% of the values of a random variable X distributed N(μ‚σx) (b) 99% of the values of a random variable X distributed N(μ‚σx) (c) is equivalent to Prob. (-2σx ≤ Z ≤ 2σx) where Z is a random variable distributed N(μ‚σZ) (d) Is equivalent to Prob. (-2 ≤ Z ≤ 2) where Z is a random variable distributed N(0‚1) (e) None of the above. The risk that many borrowers in a particular foreign country fail to
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Test 2A 1. A variable X has a distribution which is described by the density curve shown below: What proportion of values of X fall between 1 and 6? (A) 0.550 (B) 0.575 (C) 0.600 (D) 0.625 (E) 0.650 2. Which of the following statements about a normal distribution is true? (A) The value of µ must always be positive. (B) The value of σ must always be positive. (C) The shape of a normal distribution depends on the value of µ. (D) The possible values of a standard normal variable range from −3
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Quantitative Methods BITS Pilani Pilani Campus Course handout BITS Pilani Pilani Campus Session-1 Instructor Details Dr. Remica Aggarwal 1214 C ; FD-1 Department of Management Email: remica_or@rediffmail.com Mobile: 09772054839 BITS Pilani‚ Pilani Campus Course Details • • • • • • • Management Science Use of QM/QA Modelling Techniques Data Analysis Techniques MS Excel QM for Windows Test BITS Pilani‚ Pilani Campus Quantitative Methods • • • • • • • Operations
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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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