Optimization : Comparing two probability distributions.
F and G are cumulative probability distributions with identical support. G first order stochastically dominates F, i.e., for every X on the support, F(x) > G(x). Prove (or disprove) the proposition that argmax [X(1-G(X))] > argmax [X(1-F(X))], where argmax is the value of x that maximizes the expression in brackets. See atta ...continues
Linear programming description and examples
Provides a report on Linear programming which comprises of: Abstract History Need few solved problems Bibilography and References taken.
Linear Programming : Objective Function
8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X + Y < 8 X, Y > 0 What is the optimal value of the objective function?
Random Variables, Expectation and Variance
Please see the attached file for the fully formatted problems.
Statistics and Probability : Random Variables and Limit State Functions
Consider the following two collections of data that represent realizations of two random variables X1 and X2: X1: 18.9 21.1 17.8 20.2 16.0 19.0 20.9 19.1 22.5 18.7 15.:3 17.5 22.1 19.8 20.76 X2: 2:3.9 17.8 20.7 20.6 20.0 21.6 25.0 21.9 21.5 20.6 22.0 20.4 2:3.2 21.5 2:3.0 2:3.:3 21.8 2:3.8 26.6 2:3.0 22.0 2:3.8 22.1 (a) Es ...continues
Linear Programming : Optimal Solution
Linear Programming Quantitative Methods Max Z = 5x1 + 6x2 Subject to: 17x1 + 8x2 <= 136 3x1 + 4x2 <= 36 x1, x2 >= 0 and integer What is the optimal solution? What is Z = ?
Solve the following linear programming problem using the graphical solution procedure: Maximize 5A +5B The constraints are: 1A <= 100 1 B <= 80 2A+4B <= 400 A,B >=0
You mix coffee beans from Peru and Columbia to make two different kinds of coffee. Each 4 lb. bag of Classic brew uses three parts of Columbia beans to one part of Peru beans. Each 4 lb. bag of Nuvo brew uses equal parts of Columbia and Peru beans. You make $2.00 profit for each bag of Classic brew and $1.50 profit for ea ...continues
Steelco manufactures two types of steel at three different steel mills. During a given month, each steel mill has 200 hours of blast furnace time available. Because of the differences in the furnaces at each mill, the time and cost to produce a ton of steel differ for each mill, as listed in the file P04_62.xls. Each month Steel ...continues
Consider a population of 2000 individuals, 800 of whom are woman. Assume that 300 of the woman in this population earn at least $60,000 per year, and 200 of the men earn at least $60,000 per year. 1. What is the probability that a randomly selected individual from this population earns less than $60,000 per year? 2. If a r ...continues
