Consider the pdf for the rv X = magnitude (in newtons) of a dynamic load on a bridge, given in…
Consider the pdf for the rv X = magnitude (in newtons) of a dynamic load on a bridge, given in Example 3.7: Write a program to simulate values from this distribution using the inverse cdf method. In distributed computing, any given task is split into smaller sub-tasks which are handled by separate processors (which are then recombined by a multiplexer). Consider a distributed computing system with 4 processors, and suppose for one particular purpose that pdf of completion time for a particular sub-task (microseconds) on any one of the processors is given by That is, the sub-task completion times X1, X2, X3, X4 of the four processors each have the above pdf. (a) Write a program to simulate the above pdf using the inverse cdf method. (b) The overall time to complete any task is the largest of the four sub-task completion times: if we call this variable Y, then Y = max(X1, X2, X3, X4). (We assume that the multiplexing time is negligible). Use your program in part (a) to simulate 10,000 values of the rv Y. Create a histogram of the simulated values of Y, and also use your simulation to estimate both E(Y) and SD(Y). Apr 08 2022 03:19 PM
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