Random number generation from uniform distribution (2024)

Ronan asked . 2022-06-14

Good afternoon, I'm currently trying to generate random numbers from a uniform distribution, but I'm not sure how to input probabilities.

For example, Let S be uniformly distributed between 70 and 130:

a=70; b=130;S=a+(b-a).*rand

However, let's say we want to generate T which is uniformly distributed: between 0.1 and 1.0 (with probability 0.75) between 1.0 and 5.0 (with probability 0.25)

Is it possible to use the rand function as normal? i.e.

a=0.1;b=1.0;c=5.0T=([a+(b-a).*rand]*0.75)+([b+(c-b).*rand]*0.25)

I appreciate any feedback.

uniform distribution , AI, Data Science, and Statistics , Statistics and Machine Learning Toolbox

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Expert Answer

Random number generation from uniform distribution (2) Ksh*tij Singh answered . 2024-06-21 19:58:16
N = 1000000;a=0.1;b=1.0;c=5.0;r1 = rand(N,1);r2 = rand(N,1);T=(a+(b-a).*r1).*(r2<=0.75) + (b+(c-b).*r1).*(r2>0.75);figurehist(T,0.105:0.01:4.995)

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Random number generation from uniform distribution (2024)

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