# Random Numbers Within a Specific Range

This example shows how to create an array of random floating-point numbers that are drawn from a uniform distribution in the open interval (50, 100).

By default, `rand` returns normalized values (between 0 and 1) that are drawn from a uniform distribution. To change the range of the distribution to a new range, $\left(a,b\right)$, multiply each value by the width of the new range, $\left(b-a\right)$, and then shift every value by $a$.

First, initialize the random number generator to make the results in this example repeatable.

`rng(0,'twister');`

Create a vector of 1000 random values. Use the `rand` function to draw the values from a uniform distribution in the open interval, (50,100).

```a = 50; b = 100; r = (b-a).*rand(1000,1) + a;```

Verify the values in `r` are within the specified range.

`r_range = [min(r) max(r)]`
```r_range = 1×2 50.0261 99.9746 ```

The result is in the open interval, (50,100).

Note that some combinations of $a$ and $b$ make it theoretically possible for your results to include $a$ or $b$. In practice, this is extremely unlikely to happen.