soln05 - probability distribution with a greater variance...

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3) Figure 1: Plot of the probability density of the exponential distribution for λ =2. Black points represent the probability density histogram of the Monte Carlo sampled exponential distribution while the true value of the exponential distribution is represented by the red curve. Using a sample of only 200 random numbers (4% of 5000) results in a sampled
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Unformatted text preview: probability distribution with a greater variance from the expected value. Since error scales as ~ 1 / ! , uncertainty for each bin should increase by ~5 if you sample 200 instead of 5000 points for bins with sufficient data. 0 0.5 1 1.5 2 0 1 2 3 4 f(x) x...
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This note was uploaded on 03/29/2011 for the course CHE 132C taught by Professor Peters during the Spring '11 term at UCSB.

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soln05 - probability distribution with a greater variance...

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