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Showing content from https://cplusplus.com/reference/random/lognormal_distribution/ below:

class template

std::lognormal_distribution

template <class RealType = double> class lognormal_distribution;

Lognormal distribution

Random number distribution that produces floating-point values according to a lognormal distribution, which is described by the following probability density function:

This distribution produces random numbers whose logarithms are normally distributed (see normal_distribution).

The distribution parameters (m and s) relate to the characteristics of that underlying normal distribution.

To produce a random value following this distribution, call its member function operator().

Template parameters

RealType: A floating-point type. Aliased as member type result_type.
By default, this is double.

Member types The following aliases are member types of lognormal_distribution:

member type definition notes result_type The first template parameter (RealType) The type of the numbers generated (defaults to double) param_type not specified The type returned by member param.

Member functions

(constructor): Construct lognormal distribution (public member function)

operator(): Generate random number (public member function)

reset: Reset distribution (public member function)

param: Distribution parameters (public member function)

min: Minimum value (public member function)

max: Maximum value (public member function)

Distribution parameters:

lognormal_distribution::m: Parameter m (public member function)

lognormal_distribution::s: Parameter s (public member function)

Non-member functions

operator<<: Insert into output stream (function template)

operator>>: Extract from input stream (function template)

relational operators: Relational operators (function template)

Example

// lognormal_distribution
#include <iostream>
#include <random>

int main()
{
  const int nrolls=10000;  // number of experiments
  const int nstars=100;    // maximum number of stars to distribute

  std::default_random_engine generator;
  std::lognormal_distribution<double> distribution(0.0,1.0);

  int p[10]={};

  for (int i=0; i<nrolls; ++i) {
    double number = distribution(generator);
    if ((number>=0.0)&&(number<10.0)) ++p[int(number)];
  }

  std::cout << "lognormal_distribution (0.0,1.0):" << std::endl;

  for (int i=0; i<10; ++i) {
    std::cout << i << "-" << (i+1) << ": ";
    std::cout << std::string(p[i]*nstars/nrolls,'*') << std::endl;
  }

  return 0;
}

Possible output:

lognormal_distribution (0.0,1.0):
0-1: **************************************************
1-2: **************************
2-3: **********
3-4: *****
4-5: **
5-6: *
6-7: 
7-8: 
8-9: 
9-10: