Question

Use MATLAB to: Generate 500 samples of X∼U[−π,+π], called Xi​,i∈{1,2,…,500};

Answer 1

To generate 500 samples of X ∼ U[−π,+π] using MATLAB, use the rand function in a for loop to generate each sample and store it in a vector. This will result in 500 samples of X that follow a uniform distribution in the range from -π to +π.

Step-by-step explanation:

To generate 500 samples of X ∼ U[−π,+π], you can use MATLAB's rand function. Here are the steps:

1. Create an empty vector to store the generated samples: Xi = [];
2. Use a for loop to generate each sample and append it to the vector: for i = 1:500, Xi(i) = 2 * pi * (rand - 0.5); end

This will generate 500 samples of X that follow a uniform distribution in the range from -π to +π.