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ASTR615 Fall 2015 Problem Set #4
Due Wed Nov 4th, 2015
This problem set focuses on random number generation and Monte Carlo
- Write a function that transforms a uniform deviate into a
Rayleigh distributed deviate described by
Generate a suitable number of deviates and plot a normalized
histogram to test your function (plot the expected Rayleigh
distribution over your histogram for comparison).
- The total mass of an object of density is given by
where represents the volume of the object. Using simple Monte
Carlo integration, write a program that computes and its
estimated error if
the volume of the object is defined by
, and . Plot with errorbars as a
function of the number of points used in the Monte Carlo
integration, for between 10 and , in integer powers of 10.