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Unformatted text preview: Statistics 113 Lab 2: Central limit theorem Nigel Chou Lab Section 02D ________________________ Problem 1: Commented code included at end of assignment. Discussion of part 1: As p increases from 0 to 1 with n held constant, the peak of the pdf (given by np ) moves to the right along the x-axis. The height of the peak decreases until n x = 5 . , then increases until n x = ; the width of the peak increases until n x = 5 . , then decreases until n x = . This is illustrated in figure 1. As n increases with p held constant, the peak of the pdf is always given by np , thus its x-value increases as n increases. As n increases, the width of the peak relative to the range of x decreases (although the actual width increases); the height of the peak deceases. This is shown in figure 2. For drawbin , as p increases with n held constant, the histogram of the empirical draws approximates the analytic curve relatively well for any value of p. This is shown in the three plots on the left of figure the analytic curve relatively well for any value of p....
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