Modeling and simulation question Read the document "Monte Carlo Example" and watch the two videos on Monte Carlo Simulation and solve the following problem: Write a program to implement the theoretical logic of Monte Carlo simulation to (1) estimate the value of π based on the area under the curve of the COS(x) defined on the interval [0, π/2]. (2) Test your program using: N = your ID ( for example, if your student's ID = 0564321, the Input will be N = 564321). Submit your program with the output after running the program. MY ID 0161231

Modeling and simulation question Read the document "Monte Carlo Example" and watch the two videos on Monte Carlo Simulation and solve the following problem: Write a program to implement the theoretical logic of Monte Carlo simulation to (1) estimate the value of π based on the area under the curve of the COS(x) defined on the interval [0, π/2]. (2) Test your program using: N = your ID ( for example, if your student's ID = 0564321, the Input will be N = 564321). Submit your program with the output after running the program. MY ID 0161231

Programming Logic & Design Comprehensive

9th Edition

ISBN:9781337669405

Author:FARRELL

Publisher:FARRELL

Chapter5: Looping

Section: Chapter Questions

Problem 3GZ

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The language must be in python. Just do numbers 5-7 Neural Network Units Implement a single sigmoid neural network unit with weights of [-1.2, -1.1, 3.3, -2.1] Calculate the outputs for two training examples:Example 1: [0.9, 10.0, 3.1, 1]Example 2: [0.9, 2.1, 3.7, 1] Note that you don't have to explicitly include a threshold or bias since the examples include a last element of 1 which means that the last weight effectively operates as a threshold. Assuming that a sigmoid unit response >0.5 denotes a positive class and <0.5 is negative class, is example 1 positive or negative? is example 2 positive or negative? Create a single ReLU unit and provide the outputs for those examples. Calculate the derivative of the sigmoid with respect to net input for both examples Calculate the derivative of the ReLU with respect to net input for both examples
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Assume a very good NBA team has a 70% chance of winning in each game it plays. Use simulation to answer these questions, where each iteration of the simulation generates the outcomes of all 82 games. Use simulation with 10,000 iterations to answer the questions. For part a, write your numerical answer with no decimal or commas (e.g., if your computed answer is 101,021.128, write your answer as 101021). For part b, write your probability answer to two decimal places with a leading 0 (e.g., write a probability of 90.02% as 0.90). a. During an 82-game season what is the average length of the team's longest winning streak? The average length of the winning streak is . b. What is the probability that the team has a winning streak of at least 16 games? The probability is
Subject: Discrete StructuresQuestion: Given 10 cards. On each card, one of the numbers from 0 to 9 are printed. Each number is only used once. What is the probability of Drawing a five?
Subject: Discrete StructuresQuestion: Given 10 cards. On each card, one of the numbers from 0 to 9 are printed. Each number is only used once. What is the probability of Drawing a number greater than 10?
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