std::uniform_real_distribution - get all possible numbers

I would like to create a std::uniform_real_distribution able to generate a random number in the range [MIN_FLOAT, MAX_FLOAT]. Following is my code:

#include <random>
#include <limits>
using namespace std;

int main()
{
    const auto a = numeric_limits<float>::lowest();
    const auto b = numeric_limits<float>::max();
    uniform_real_distribution<float> dist(a, b);
    return 0;
}

The problem is that when I execute the program, it is aborted because a and b seem to be invalid arguments. How should I fix it?