Question: Link: https://phet.colorado.edu/sims/html/plinko-probability/latest/plinko-probability_en.html Your goal in this experiment is to examine how , the mean value of the final location of a ball going through the

Link:

https://phet.colorado.edu/sims/html/plinko-probability/latest/plinko-probability_en.html

Your goal in this experiment is to examine how , the mean value of the final location of a ball going through the apparatus, depends on the binary probability p. In particular, we will compare results to a proposed model: = Rp Where R is the number of rows.

Part 1:

Set the number of rows to 14, set the binary probability to 0.1, and release 5 balls. Determine a mean value and its corresponding uncertainty for the final location of a ball going through the apparatus using the resulting data. Hit reset and repeat this step again for p = 0.2, p = 0.4, p = 0.6, and p = 0.8 determining a mean value and corresponding uncertainty for each.

Part 2:

Compare each of your four mean values and uncertainties to the prediction of the model = Rp using One-Sample Distinguishability tests for each

Part 3:

Determine the slope, m, of a linear fit y = mx where y is , and x is the binary probability p, using the appropriate weighted fit formula we learned this semester. Comparing your linear fit to the model, what variable should the slope be equal to if the model is correct? How does the slope you found compare with what the model predicts the slope should be? (Find a percent difference).

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