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Question Please compute the covariances by using the dataset cov.mat 1. In this dataset, the data points are stored in a matrix X, where each row stands for one observation (datapoint) and each column stands for one attribute describing the data point. Now we would like to know how those attribute ... Read More
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Question Please compute the correlation coefficient by using the dataset crcf.mat 2. This dataset contains one matrix X and one vector Y . For the matrix X, each row stands for one observation (datapoint) and each column stands for one attribute describing the datapoint. For the vector Y, it store ... Read More
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Question Let the random variable X denote the number of customers arriving in a certain store per hour, which is modelled as a Poisson process with the rate λ= 4 such that X~ Poiss(4). Now, please compute the probability that k customers visit the store in a day where k = 0; 1; 2,3,…. ... Read More
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Question Please draw two histograms with respect to different bin widths by using the data hist.mat3. a.The first histogram corresponds to evenly paced bin widths. The bin width is 10 and the first bin starts at 0. For example, you can use these bins: ([0, 10), [10,20), [20,30),&hell ... Read More
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Question A component in a system is driving the overall system reliability. The system recently conducted a test over 100 hrs and the system experienced 3 failures. a) What is the point estimate of MTBF? b) What is the probability that the time between two failures will be less than 20 hrs? &nbs ... Read More
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Question A system is advertised to have an availability of 75%. a) If you attempt to access it 5 times, what is the probability that you will successfully access it exactly 4 times? b) How many times do you have to access the system to ensure you are successful ten times? Summary ... Read More
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Question Consider the operation of a router where packets arrive based on a Poisson process. Packets arrive at an average rate of 2 per second. a) What is the probability that exactly 3 messages will arrive in 1 second? b) What is the probability that 4 or more messages will arrive in 1 s ... Read More
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Question This problem implements a simple calculator using RPN notation. The application will consist of user input, stack operation, and displaying the result. RPN calculations work in conjunction with a stack. Every time a user enters a number, the number should be pushed on the stack. When the u ... Read More
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Question This problem examines the use of interlinked data structures similar to what might be found in simulation or a game. Consider a simulation of vehicles moving over a terrain where the type of terrain affects the speed of the vehicle. There are multiple types of vehicles each with a differe ... Read More
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Question Solve the following ODE numerically using (A) a MATLAB differential equation solver, (B) using your own Euler method, and (C) analytically. Plot the two numerical solutions (black, blue) and analytic solution (red) on one graph with x = [0,5]. What steps size (h) did you need to use for th ... Read More
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Question a.Create an array of 12 logarithmically spaced lengths from 25 meters to 750,000 meters. b. Use matrix math to find the volume of 12 cubes with the side lengths from part a. c. Create an array of 17 angles linearly spaced from 30 degrees to 240 degrees. d. Use matrix math to find the ta ... Read More
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Question a.Create a 6 x 4 matrix of uniformly distributed random numbers. b. Create a 3 x 6 matrix of normally distributed random numbers. c. Create a 2- dimensional output matrix by multiplying the matrices together. d. Determine the position (row and column) of the maximum value in the output ... Read More
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