Specifying range in RandomReal

Question

Is it possible to define the specific range of a RandomReal array for each coordinate? For example, the code

x = 1; y = 10; L = 20;
{RandomReal[x, L], RandomReal[y, L]} // Transpose

Gives me a list of 20 pairs where the first coordinate is a random real between 0 and 1, and the second is a random real between 0 and 10.

I suspect there is a neater way of writing this. Any ideas?

Answer 1

Not with RandomReal that I know of, but you can define a UniformDistribution with your required limits and draw samples from it using RandomVariate:

pts = RandomVariate[UniformDistribution[{{0, 1}, {0, 10}}], 20]

Check that it works as expected:

MinMax /@ Transpose@pts

{{0.00103093, 0.996982}, {0.530043, 9.94596}}

Answer 2

Just marginally faster

x = 1; y = 10; L = 20;
Transpose[{RandomReal[x, L], RandomReal[y, L]}]; // RepeatedTiming

{4.2*10^-6,Null}

ReIm@RandomComplex[{0, x + I y}, L]; // RepeatedTiming

{2.5*10^-6,Null}

Answer 3

Marco's solution is the best way to do this. An alternative procedure is to use RescalingTransform[] on RandomReal[], like so:

RescalingTransform[{{0, 1}, {0, 1}}, {{0, 1}, {0, 10}}][RandomReal[1, {20, 2}]]