I have created a code to simulate a scaled random walk, but I need to now modify it to generate 1000 paths and then estimate the variance with n = 100, for t = 0.25, 0.5, 0.75 and 1. Can anyone help out with how to generate all 1000 paths? Sorry if this is painfully easy, I am a complete matlab/coding noob.

clear;

N = 10

t = (0:1:N)';

X = [0; cumsum(2*(rand(N,1)>0.5)-1)];

plot(t/N,X(1:N+1)/sqrt(N));

axis([0 1 -2 2]);

title(['Uniform Sample 1000 steps'])

ylabel('Position')

xlabel('Time')

clear;

N = 10

t = (0:1:N)';

X = [0; cumsum(2*(rand(N,1)>0.5)-1)];

plot(t/N,X(1:N+1)/sqrt(N));

axis([0 1 -2 2]);

title(['Uniform Sample 1000 steps'])

ylabel('Position')

xlabel('Time')

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