HW 4 - Eric Johnston HW 4 MAED 310 1. In science, one use...

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Eric Johnston HW 4 MAED 310 1. In science, one use of the Monte Carlo Method involves simulating photon transport. The way it works is that the movement is input as an equation and creates a probability curve which describes the size of photon movement between sites of photon interaction and the angles of deflection when they scatter Another use of the Monte Carlo Method is in finance. It is used to model financial investments through instruments , portfolios and investments . It is so effective compared to other models because the way it works is by simulating the unexpected events affecting its value. It then determines the average value of some given amount of time. Finally, in the special effects industry, the Monte Carlo Methods has been put into use in “solving coupled integral differential equations of radiation fields and energy transport.” The application of this creates photorealistic images of virtual 3D models, and therefore is used in movie special effects, video games, and architectural planning. 2. a.) If you look at what the Buffon Needle experiment looks like in the “simulation world” it would look something like this: Buffon Needle Experiment π When the experiment is performed, it can be determined that the equation of the curve ends up being = d 12sin .
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Eric Johnston HW 4 MAED 310 b.) To determine the probability it will hit a curve can be determines by the area of hit divided by
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HW 4 - Eric Johnston HW 4 MAED 310 1. In science, one use...

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