37   using std::cout; using std::endl;
51   cout << "Binomial distribution example - guessing in a quiz." << endl;  in main()
65   cout << "In a quiz with " << quiz.trials()  in main()
72   cout << "Probability of getting none right is " << pdf(quiz, 0) << endl; // 0.010023  in main()
73   cout << "Probability of getting exactly one right is " << pdf(quiz, 1) << endl;  in main()
74   cout << "Probability of getting exactly two right is " << pdf(quiz, 2) << endl;  in main()
76   cout << "Probability of getting exactly " << pass_score << " answers right by chance is "  in main()
78   cout << "Probability of getting all " << questions << " answers right by chance is "  in main()
92   cout << "\n" "Guessed Probability" << right << endl;  in main()
96     cout << setw(2) << successes << "      " << probability << endl;  in main()
98   cout << endl;  in main()
122   cout << "Probability of getting none or one right is " << pdf(quiz, 0) + pdf(quiz, 1) << endl;  in main()
131   cout << "Probability of getting none or one right is " << cdf(quiz, 1) << endl;  in main()
138   cout << "Probability of getting <= 10 right (to fail) is " << cdf(quiz, 10) << endl;  in main()
146   cout << "Probability of getting > 10 right (to pass) is " << 1 - cdf(quiz, 10) << endl;  in main()
153   cout << "Probability of getting > 10 right (to pass) is " << cdf(complement(quiz, 10)) << endl;  in main()
164   cout << "Probability of getting less than " << pass_score  in main()
177   cout << "Probability of getting at least " << pass_score  in main()
190   cout << "\n" "At most (<=)""\n""Guessed OK   Probability" << right << endl;  in main()
193     cout << setw(2) << score << "           " << setprecision(10)  in main()
196   cout << endl;  in main()
220   cout << "\n" "At least (>)""\n""Guessed OK   Probability" << right << endl;  in main()
223     cout << setw(2) << score << "           "  << setprecision(10)  in main()
260   cout.precision(4);  in main()
261   cout << "Probability of getting between "  in main()
270 …cout << "Probability of getting between " << low << " and " << high << " answers right by guessing…  in main()
279 …cout << "Probability of getting between " << low << " and " << high << " answers right by guessing…  in main()
282 …cout << "Probability of getting between " << low << " and " << high << " answers right by guessing…  in main()
285 …cout << "Probability of getting between " << low << " and " << high << " answers right by guessing…  in main()
297 …cout << "By guessing, on average, one can expect to get " << mean(quiz) << " correct answers." << …  in main()
298   cout << "Standard deviation is " << standard_deviation(quiz) << endl;  in main()
299   cout << "So about 2/3 will lie within 1 standard deviation and get between "  in main()
302   cout << "Mode (the most frequent) is " << mode(quiz) << endl;  in main()
303   cout << "Skewness is " << skewness(quiz) << endl;  in main()
316   cout << "Quartiles " << quantile(quiz, 0.25) << " to "  in main()
318   cout << "1 standard deviation " << quantile(quiz, 0.33) << " to "  in main()
320   cout << "Deciles " << quantile(quiz, 0.1)  << " to "  in main()
322   cout << "5 to 95% " << quantile(quiz, 0.05)  << " to "  in main()
324   cout << "2.5 to 97.5% " << quantile(quiz, 0.025) << " to "  in main()
326   cout << "2 to 98% " << quantile(quiz, 0.02)  << " to "  in main()
329   cout << "If guessing then percentiles 1 to 99% will get " << quantile(quiz, 0.01)  in main()
380   cout << "Quartiles " << quantile(quiz, 0.25) << " to "  in main()
382   cout << "1 standard deviation " << quantile(quiz_real, 0.33) << " to "  in main()
384   cout << "Deciles " << quantile(quiz_real, 0.1)  << " to "  in main()
386   cout << "5 to 95% " << quantile(quiz_real, 0.05)  << " to "  in main()
388   cout << "2.5 to 97.5% " << quantile(quiz_real, 0.025) << " to "  in main()
390   cout << "2 to 98% " << quantile(quiz_real, 0.02)  << " to "  in main()
393   cout << "If guessing, then percentiles 1 to 99% will get " << quantile(quiz_real, 0.01)  in main()
416     std::cout <<  in main()