# hw6sol - IEOR 4404 Simulation Prof. Mariana Olvera-Cravioto...

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IEOR 4404 Assignment #6 Solutions Simulation 24th October 2006 Prof. Mariana Olvera-Cravioto Page 1 of ?? Assignment #6 Solutions 1. The following code asks the user to input the probability mass vector and then generates a value of a random variable having this mass function. prob = input(’\n Enter the respective probabilities: ’) n=length(prob); i=1; u = rand; sumProb = prob(1); while (i < n)&&(u>= sumProb) i = i+1; sumProb = sumProb + prob(i); end i 2. The following code simulates the action of drawing a card from the shuﬄed deck of cards and not replacing it into the deck. Indeed, this is equivalent to drawing a card at random from the ordered deck of cards. The key is to make sure that you don’t pick the same card twice which is guaranteed by rearranging the elements in the C vector each time a card is withdrawn. S=10000; % Sample size X=zeros(1,S); % Sample vector e=ones(1,S); % Unit vector C=zeros(1,100); % 100 cards with number 1,2,. ..,100 for s=1:S for i=1:100 C(i)=i; end n=100; Y=0; for j=1:100

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2 IEOR 4404, Assignment #6 Solutions U=rand; N=floor(n*U)+1; if j==N Y=Y+1;
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## This note was uploaded on 11/17/2010 for the course IEOR 4404 taught by Professor C during the Spring '10 term at Columbia.

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hw6sol - IEOR 4404 Simulation Prof. Mariana Olvera-Cravioto...

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