Linear Programming : Corner Point Method

Dr Wu can cure colds with his 3 layer pills. They come in two sizes, regular and king size. Regular size contains 2 grains of aspirin, 5 grains of bicarbonate, and 1 grain of codeine. For king size, it is 1 grain of aspirin, 8 grains of bicarbonate, and 6 grains of codeine. Dr Wu shows that is requires at least 12 grains of aspi ...continues

Continuous Random Variables and their Probability Distributions

Continuous Random Variables and their Probability Distributions. See attached file for full problem description.

Continuous Random Variables and their Probability Distributions

Please see the attached file for the fully formatted problems. Exponential Distribution f(y) = (1/B)e(-y/B) The time in hours a manager takes to interview a job applicant has an exponential distribution where B = 1/2. The applicants are scheduled at quarter-hour intervals, beginning at 8:00am and the applicants arrive exa ...continues

Multivariate Probability Distributions

Please see the attached file for the fully formatted problems. Y1 & Y2 denotes the proportions of time that employee I and II actually spent working on their assigned tasks during a workday. The joint density of Y1 & Y2 is given by: f(y1,y2) = y1 + y2 , 0= ...continues

Functions of Random Variables - Method of transformations

Random variable Y that has an exponential distribution with mean equal to 4. U = 3Y+1. Use the method of transformations to derive the density function for U.

Functions of Random Variables - The method of distribution functions

Functions of Random Variables The method of distribution functions 1) Let Y be a random variable with a density function given by f(y1) = 3/2y^2 , -1 ...continues

Continuous Random Variables

Please see the attached file for the fully formatted problem. f(y) = cy^2(1-y)^4 0

Multivariate Probability Distributions

Please see the attached file for the fully formatted problems. Multivariate Probability Distributions f(y1,y2) = 3y1, 0

Combinations and Permutations : Six Problems

1) Give clearly justified answers to the following. a) How many 7-digit telephone numbers can be formed if the first digit cannot be 0 or 9 and if the last digit is greater than or equal to 2 and less than or equal to 3? Repeated digits are allowed. b) How many different ways are there to arrange the 6 letters of the word CA ...continues

Two Bad Door and One Good Door Problem : Should you Switch?

You are a contestant on a television game show. In front of you are three closed doors. Behind one of them is a new car, and behind the other two are goats. You get to pick on of the doors, and you will win what is behind it. We will assume that you want to win the new car, and not the goats. However, the way the game w ...continues