Random Numbers

The random-number generators in Scientific Notebook give you a set of random numbers from one of several families of distribution functions. The choices in the dialog box are Beta, Binomial, Cauchy, Chi-Square, Exponential, F, Gamma, Normal, Poisson, Student's t, Uniform, and Weibull. From the Statistics submenu, choose Random Numbers. Choose a distribution from the dialog box, specify how many random numbers you want, and enter appropriate parameters. Following are sample results.

$\blacktriangleright$ Statistics + Random Numbers

Beta, order 3, order 7:

.31172, .28533, 7.8338×10-2, .14925, .41693

Binomial, number of trials 10, probability of success .5:

6, 2, 6, 5, 6

Cauchy, median 10, shape parameter 5:

8.8, 6.9, 7.3, 9.6, 11.

Chi-Square, degrees of freedom 3:

.91006, 2.2787, 4.4748, 2.7026, 1.5385

Exponential, mean time between arrivals 10:

16.851, 16.865, 8.8222, 32.037, 12.434

F, degrees of freedom 1 and 3:

1.1585×10-2, 1.3279×10-2, .18187, 1.5567, 1.8483

Gamma, order 5:

6.5299, 4.2894, 10.473, 6.9089, 7.9011

Normal, mean 3, standard deviation 7:

5.223,  -4.8075,  -5.5782,  -1.1218, 1.357

Poisson, mean number of occurrences 4:

2, 4, 1, 2, 5

Student's t, degrees of freedom 7:

1.6568×10-2, .11424,  -1.3886×10-2,  -1.8095×10-2,  - .14798

Uniform, lower end of range 0, upper end of range 20:

5.6016, 16.744, 10.275, 14.057, 10.136

Weibull, shape parameter 5, scale parameter 3:

3.8, 3.3, 2.7, 3.0, 3.6



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