M-ary Digital Communications Problem: How can we increase the rate of information transfer of a binary digital communication system, without increasing the necessary bandwidth? Solution: Use one of M symbols, instead of only 2 symbols in each interval, where M > 2. Disadvantage: Exchange of transmitter power and noise immunity. • • • • • • Binary system: One of 2 possible signals is transmitted in each T-second interval. M-ary system: One of M possible symbols is transmitted in each
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Quantitative Analysis for Business (QAT1) Submitted 05/05/2015 Assignment 309.3.3-04 Version LMF5-28 Student: Richard McClanahan Student ID: 000343792 TASK #5 Answer Task 5A Calculate the expected value for EACH of the four decision branches. 1. Develop Thoroughly: GOOD) $500,000 (0.45) = $225,000 MOD.) $25,000 (0.10) = $2,500 POOR) $1,000 (0.45) = $450 TOTAL EXPECTED VALUE: $227,950 2. Develop Rapidly: GOOD)
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CHAPTER 6 RANDOM VARIABLES PART 1 – Discrete and Continuous Random Variables OBJECTIVE(S): • Students will learn how to use a probability distribution to answer questions about possible values of a random variable. • Students will learn how to calculate the mean and standard deviation of a discrete random variable. • Students will learn how to interpret the mean and standard deviation of a random variable. Random Variable – Probability
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requirements of binomial probability distribution are satisfied. a. A fixed number of trials – 24. b. Two possible outcomes – No trouble found, yes or no c. The probability of success is the same on each trail. d. The trails are independent. e. The random variable X is represented. 1. What is the probability that exactly 18 of the 24 customers made a return for “no trouble found”? binompdf (24, 0.68, 18) = 0.1397 2. What is the probability that no more than half of the customers made a return
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get a 5 or 6 is 1/3 The sample space is the set of all possible outcomes. Sample space = {(one)(two)…(six)} b. Throw a fair dice 10 times. What is the probability to get “six” twice? What is the probability to get six at least twice? Define random variable X to be number of getting “six” (successs). P(X=2) c. Throw a fair dice 10 times. What is the expected value and variance of getting “six”? E(X)= n*p=10*1/6=1.67 Var(X)=n*p=(1-p)=1.39 d. If you throw the dice 100 times, how does
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labelled. You must show sufficient working to make your methods clear to the Examiner. Answers without working may gain no credit. 1. Explain briefly what you understand by (a) a sampling frame, (1) (b) a statistic. (2) 2. The continuous random variable X is uniformly distributed over the interval [–1, 4]. Find (a) P(X < 2.7), (1) (b) E(X), (2) (c) Var (X). (2) 3. Brad planted 25 seeds in his greenhouse. He has read in a gardening book that the probability of one of these
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1 Mathematics for Management Concept Summary Algebra Solving Linear Equations in One Variable Manipulate the equation using Rule 1 so that all the terms involving the variable (call it x) are on one side of the equation and all constants are on the other side. Then use Rule 2 to solve for x. Rule 1: Adding the same quantity to both sides of an equation does not change the set of solutions to that equation. Rule 2: Multiplying or dividing both sides of an equation by the same nonzero number
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1. Draw a network diagram for this project. Identify the paths through the network diagram that could potentially delay the project if its deadline is 40 months. 2.) Calculate the variance and standard deviation of each activity: (realized after STD on this question wasn’t asked for) A: σ²-[24-3/6]²= 12.25 STD:3.5 B: σ²-[12-1/6]²= 3.36 STD:1.83 C: σ²-[1-0.25/6]²= .0156 STD: .1248 D: σ²-[0.5-0.2/6]²= .0025
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143 0.286 4000 0.10 0.90 4 0.143 0.429 5000 0.143 0.571 6000 0.143 0.714 7000 0.143 0.857 8000 Breakdowns "Random #, r1 ( rand() )" Time Between Breakdowns, x (weeks) Cumulative Time, x (weeks) Random #, r2 ( rand() ) Repair Time (days) "Random #, r3 ( rand() )" Number of Sales Per Day Revenue Lost Per Day, .10s Revenue Lost 1 0.87461092 5.639506491 5.639506491 0.812564485 3 0.618968125 6000 $600 $1,800 2 0.619910638
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Exam Stat 1204 ibsu basic THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A company hires management trainees for entry level sales positions. Past experience indicates that only 10% will still be employed at the end of 9 months. Assume the company recently hired 6 trainees. 1) What is the probability that three of the trainees will still be employed at the end of 9 months? A) 0.0415 B) 0.0446 C) 0.0146 D) 0.0012 2) What is the probability that at least two of the trainees will still be
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