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      std::binomial_distribution

      From cppreference.com
      <cpp‎ |numeric‎ |random
       
       
       
      Pseudo-random number generation
       
       
      Defined in header<random>
      template<class IntType=int>
      class binomial_distribution;
      (since C++11)

      Produces random non-negative integer valuesi, distributed according to discrete probability function:

      \(P(i|t,p) = \binom{t}{i} \cdot p^i \cdot (1-p)^{t-i}\)P(i|t,p) =

      t
      i


      · pi
      · (1 − p)t−i

      The value obtained is the number of successes in a sequence oft yes/no experiments, each of which succeeds with probabilityp.

      std::binomial_distribution satisfiesRandomNumberDistribution.

      Contents

      [edit]Template parameters

      IntType - The result type generated by the generator. The effect is undefined if this is not one ofshort,int,long,longlong,unsignedshort,unsignedint,unsignedlong, orunsignedlonglong.

      [edit]Member types

      Member type Definition
      result_type(C++11)IntType
      param_type(C++11) the type of the parameter set, seeRandomNumberDistribution.

      [edit]Member functions

      constructs new distribution
      (public member function)[edit]
      (C++11)
      resets the internal state of the distribution
      (public member function)[edit]
      Generation
      (C++11)
      generates the next random number in the distribution
      (public member function)[edit]
      Characteristics
      (C++11)
      returns the distribution parameters
      (public member function)[edit]
      (C++11)
      gets or sets the distribution parameter object
      (public member function)[edit]
      (C++11)
      returns the minimum potentially generated value
      (public member function)[edit]
      (C++11)
      returns the maximum potentially generated value
      (public member function)[edit]

      [edit]Non-member functions

      (C++11)(C++11)(removed in C++20)
      compares two distribution objects
      (function)[edit]
      performs stream input and output on pseudo-random number distribution
      (function template)[edit]

      [edit]Example

      Plot of binomial distribution with probability of success of each trial exactly 0.5, illustrating the relationship with the pascal triangle (the probabilities that none, 1, 2, 3, or all four of the 4 trials will be successful in this case are 1:4:6:4:1).

      Run this code
      #include <iomanip>#include <iostream>#include <map>#include <random>#include <string> int main(){std::random_device rd;std::mt19937 gen(rd());// perform 4 trials, each succeeds 1 in 2 times    std::binomial_distribution<> d(4,0.5); std::map<int,int> hist;for(int n=0; n!=10000;++n)++hist[d(gen)]; for(autoconst&[x, y]: hist)std::cout<< x<<' '<<std::string(y/100,'*')<<'\n';}

      Possible output:

      0 ******1 ************************2 *************************************3 *************************4 ******

      [edit]External links

      Weisstein, Eric W. "Binomial Distribution." From MathWorld — A Wolfram Web Resource.
      Retrieved from "https://en.cppreference.com/mwiki/index.php?title=cpp/numeric/random/binomial_distribution&oldid=160788"

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