Question

Generate the following sequences:

10000 uniformly distributed numbers in the interval [-2, 2] and verify the results.

(Use Matlab To Solve)

Answer 1

To create 10000 uniformly distributed numbers from [-2, 2] in MATLAB, use the rand function scaled and shifted to the desired range, then verifying the minimum and maximum of generated numbers.

Step-by-step explanation:

To generate 10000 uniformly distributed numbers in the interval [-2, 2] using MATLAB, you can use the rand function and then transform the generated numbers to fit the desired range. Here is a step-by-step explanation:

Generate an array of numbers with rand, which by default will be in the [0, 1] range.

Multiply the generated numbers by 4 to scale them up to the range [0, 4].

Subtract 2 from each number to shift the range to [-2, 2].

Verify the results by checking the minimum and maximum values and ensuring they fall within the desired interval.

This can be done in MATLAB with the following code:

numbers = (rand(10000,1) * 4) - 2;

minValue = min(numbers);

maxValue = max(numbers);

After running the code, you should check that minValue is greater than or equal to -2 and maxValue is less than or equal to 2 to verify that the numbers are in the correct interval.