TEM1116 Probability and Statistics Tri1 2013/14 Chapter 1 Chapter 1: Discrete and Continuous Probability Distributions Section 1: Probability Contents: 1.1 1.2 1.3 1.4 1.5 Some basics of probability theory Axioms‚ Interpretations‚ and Properties of Probability Counting Techniques and Probability Conditional Probability Independence TEM1116 1 TEM1116 Probability and Statistics Tri1 2013/14 Chapter 1 1.1 Basics of Probability Theory Probability refers to the study
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ASSIGNMENT ON FREQUENCY DISTRIBUTION & GRAPHIC PRESENTATION ( EX. # 32 & 30 ) SUBMITTED TO: FARZANA LALARUKH DEPT. OF FINANCE UNIVERSITY OF DHAKA SUBMITTED BY: SHEAKH MOHAMMAD KHALED MAHTAB ID# 11046 DEPT. OF FINANCE EMBA UNIVERSITY OF DHAKA Date of submission: February 27‚ 2007 Exercise # 32 The Midland National Bank selected a sample of 40 student checking accounts. Below are their end-of-the-month balances: 404 87 703 968 74 234 125 712 234 68 350 503 149 489 440 489
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EXERCISES (Discrete Probability Distribution) EXERCISES (Discrete Probability Distribution) P X x n C x p 1 p x BINOMIAL DISTRIBUTION n x P X x n C x p 1 p x BINOMIAL DISTRIBUTION n x 1. 2. 3. The probability that a certain kind of component will survive a given shock test is ¾. Find the probability that exactly 2 of the next 4 components tested survive. The probability that a log-on to the network is successful is 0.87. Ten users
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Analysis for Managerial Applications Assignment No. : MS-08/TMA/SEM-I/2014 Coverage : All Blocks Note : Attempt all the questions and submit this assignment on or before 30th April‚ 2014 to the coordinator of your study center. 1. The distribution of Intelligence Quotient (I.Q.) scores measured for 100 students in a test is as follows: I.Q.* 40-50 50-60 60-70 70-80 80-90 90-100 Number of Students 10 20 20 15
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control‚ find the false alarm probability (Type-I error) for each case. The corresponding probability measures are obtained from the Normal table as P(3 " Z) = 0.00135 P(2 " Z) = 0.02275 P(1 " Z) = 0.1587 Solution: ! i) Use the Binomial distribution to ! calculate the probability measures. ! 3! 3! P(Y ! 2 n = 3‚ p = 0.02275) = (0.02275)2 (1" 0.02275) + (0.02275)3 = 0.00153 2!1! 3!0! Type-1 Risk considering both sides: ! = 0.00306 ii) 5! 5! (0.1587)4 (1" 0.1587) + (0.1587)5 =
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John Locke and the Unequal Distribution of Wealth It is stated by John Locke that in the state of nature no man may take more then he can consume. " make use of any advantage of life before it spoils whatever is beyond this is more than his share and belongs to others. Nothing was made by God for man to spoil or destroy. (Locke 14)" Locke then goes on to say‚ "God gave the world to man for their benefit and the greatest conveniences of life they were capable to draw from it‚ it cannot be supposed
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Variances Variances can be either: * Positive/favourable (better than expected) or * Adverse/unfavourable ( worse than expected) A favourable variance might mean that: * Costs were lower than expected in the budget‚ or * Revenue/profits were higher than expected By contrast‚ an adverse variance might arise because: * Costs were higher than expected * Revenue/profits were lower than expected What causes budget variance? There are four key reasons and it is important that
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A New Method for Placement of DG Units in Distribution Networks H.Hedayati‚ S.A.Nabaviniaki‚ Senior Member‚ IEEE‚ and A.Akbarimajd Abstract-- In this paper a new method for placement of DG (distributed generation) units in distribution networks has been presented. This method is based on two factors: analysis of power flow continuation and determination of the most sensitive voltage buses to collapse voltage. This method has been executed on a typical 34-Bus test system. Efficiency of proposed
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Wal-Marts distribution system is the most advanced in the world. For most products they use the pull system‚ which simply means that inventory is not moved until a customer buys something and then the system orders a replacement for that item. 85% of the items are picked up at the suppliers warehouse by a Wal-Mart truck and brought to the distribution center. A small amount of products are brought to the store‚ I think by P&G. Wal-Mart uses cross docking a system they perfected to unload a truck
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the random variable X be the number of people who buy a plain bagel. (a) Find the probability distribution for X. (b) Suppose at least 3 people buy a plain bagel. What is the probability that exactly 4 people buy a plain bagel? 3. The probability distribution for a discrete random variable X is given by the formula p(r) = for r = 1‚ 2‚ . . . ‚ 6. (a) Verify that this is a valid probability distribution. (b) Find P (X = 4). (c) Find P (X > 2). (d) Find the probability that X takes on the value 3 or
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