Proposition PHP2. (The Pigeonhole Principle.) If n or more pigeons are distributed among k 0 pige...
Please send me solutions for the above five questions. The questions are based on Pigeonhole Principle. 3. A shop contains twelve samples of read shirts, seven samples of white shirts, and N samples of blue shirts. Suppose that the smallest K such that choosing K samples from the collection guarantees that you have six samples of the same color of shirt is K-15. What is N? 4. Show that among any n1 positive integers not exceeding 2nthere must be integer...
The random variables X1, X2, - .. are independent and identically distributed with common pdf 0 х > fx (x;0) (2) ; х<0. This distribution has many applications in engineering, and is known as the Rayleigh distribution. 2 (a) Show that if X has pdf given by (2), then Y = X2/0 is x2, i.e. T (1, 2) i.e. exponential with mean 2, with pdf fr (y;0) - ; y0; (b) Show that the maximum likelihood estimator of 0 is...
2. Consider an urn that contains red and green balls. At time 0 there are k balls with at least one ball of each color. At time n we draw out a ball chosen at random.We return it to the urn and add one more of the color chosen. Let X be the fraction of red balls at time n. Show that Xn is a martingale with respect to the filtration (X0,Xi, ,Xn). At time n there are nk balls,...
onsider an exam which has n multiple choice questions. Each question has k possible answers, among which only one answer is correct. (a) Consider a student who chooses at random the answers for all questions of the exam. Let X be the number of correct answers of this student. What is distribution of X? What is the expected value of X? (b) To eliminate the effect of guessing, the instructor decides to mark the according to the following rule: for...
Hi can you help me solve the following signal and system question on CTFS harmonic functions. Please show me how to get Cx[K] by integration by parts step by step. The graph for this question is not needed. Thank you. 4. A periodic signal x(t) with a period of 4 seconds is described over one fundamental period by x(t) 3-t, 0<t<4. Graph the signal and find its CTFS harmonic function. Then graph on the same scale approximations to the signal...
Data clustering and the k means algorithm. However, I'm not able to list all of the data sets but they include: ecoli.txt, glass.txt, ionoshpere.txt, iris_bezdek.txt, landsat.txt, letter_recognition.txt, segmentation.txt vehicle.txt, wine.txt and yeast.txt. Input: Your program should be non-interactive (that is, the program should not interact with the user by asking him/her explicit questions) and take the following command-line arguments: <F<K><I><T> <R>, where F: name of the data file K: number of clusters (positive integer greater than one) I: maximum number...
Combinatorial Auctions (K&T Ch8.Ex13). A combinatorial auction is a particular mechanism developed by economists for selling a collection of items to a collection of potential buyers. (The Federal Communications Commission has studied this type of auction for assigning stations on the radio spectrum to broadcasting companies.) Heres a simple type of combinatorial auction. There are n items for sale, labeled I,..., In. Each item is indivisible and can only be sold to one person. Now, m different people place bids:...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...
Deck of Cards Program I need help printing a flush, which is showing the top 5 cards of the same suite. Below is the code I already have that answers other objectives, such as dealing the cards, and finding pairs. Towards the end I have attempted printing a flush, but I cannot figure it out. public class Shuffler { /** * The number of consecutive shuffle steps to be performed in each call * to each sorting...
I NEED THE CODE FOR PART 2-MATH MODELING CLASS USING MATH LAB in thrve posed elevator problem, your assistant notified you that there are 60 workers operating on each of 5 floors atop the ground floor in your office building - 300 in total. The elevator occupancy is 10 people, and there are 3 elevators in total. In the worst-case scenario in terms of total transition time, on each elevator ride at least one person is getting off at each...