Revision as of 03:22, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Write a program to simulate the random variables whose densities are given by the following, making a suitable bar graph of each and comparing the exact density with the bar graph. <ul><li> <math>f_X(x) = e^{-x}\ \ \mbox{on}\,\, [0,\infty)\,\, (...")
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Jun 09'24
Exercise
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Write a program to simulate the random variables whose
densities are given by the following, making a suitable bar graph of each and comparing the exact density with the bar graph.
- [math]f_X(x) = e^{-x}\ \ \mbox{on}\,\, [0,\infty)\,\, (\mbox{but\,\,just\,\,do\,\,it\,\,on\,\,} [0,10]).[/math]
- [math]f_X(x) = 2x\ \ \mbox{on}\,\, [0,1].[/math]
- [math]f_X(x) = 3x^2\ \ \mbox{on}\,\, [0,1].[/math]
- [math]f_X(x) = 4|x - 1/2|\ \ \mbox{on}\,\, [0,1].[/math]