File:Fse-monte-carlo-simulation-v2.svg

Fse-monte-carlo-simulation-v2.svg (SVG file, nominally 900 × 600 pixels, file size: 12 KB)

Summary

Inverse transformation method for the density f(x) = 2x: a random number r is mapped to x = √r. Based on Phillips (2002), pp. 5-120–5-121.

Original illustration for Monte Carlo simulation, level 4 Expert.

Source basis: Phillips (2002), pp. 5-120–5-121 (inverse transformation method and Example 1, f(x) = 2x, x = √r)
Alt text: Curve F(x) = x squared from 0 to 1; horizontal arrows from random numbers 0.16 and 0.49 hit the curve and drop to x = 0.4 and x = 0.7.

New drawing by Fire Safety Academy. © Fire Safety Academy.

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	17:42, 2 November 2026		900 × 600 (12 KB)	Jan (talk \| contribs)	Watermark: Fire Safety Academy logo icon, 70 px, 45 % opacity

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Short title	Inverse transformation method for the density f(x) = 2x: a random number r is mapped to x = √r. Based on Phillips (2002), pp. 5-120–5-121.
Image title	Curve F(x) = x squared from 0 to 1; horizontal arrows from random numbers 0.16 and 0.49 hit the curve and drop to x = 0.4 and x = 0.7. Source basis: Phillips (2002), pp. 5-120–5-121 (inverse transformation method and Example 1, f(x) = 2x, x = √r)
Width	900
Height	600