This calculator performs calculations involving the Binomial Distribution including the CDF, inverse and plotting.

Value | Keystrokes | Display | Description |
---|---|---|---|

.6 | prob | 0.600 | Enters the probability value. |

5 | trials | 5.00 | Enters the number of trials value. |

3 | sccs | 3.00 | Enters the number of successes value. |

cdf | 0.663 | Calculates the cdf. |

Value | Keystrokes | Display | Description |
---|---|---|---|

.6 | prob | 0.600 | Enters the probability value. |

5 | trials | 5.00 | Enters the number of trials value. |

3 | sccs | 3.00 | Enters the number of successes value. |

pmf | 0.346 | Calculates the pdf. |

Value | Keystrokes | Display | Description |
---|---|---|---|

.6 | prob | 0.600 | Enters the probability value. |

5 | trials | 5.00 | Enters the number of trials value. |

.9 | cdf | 0.900 | Enters the cdf value. |

sccs | 4.00 | Calculates the inverse cdf. |

In some cases you wish to calculate the number of trials for a given prob and pmf.

Value | Keystrokes | Display | Description |
---|---|---|---|

.01 | prob | 0.01 | Enters the probability value. |

.5 | pmf | 0.500 | Enters the pmf value. |

trials | 69 | Calculates the number of trials. | |

pmf | 0.4998 | Calculates the actual pmf for the number of trials. |

Note that the sccs value is set to 0 for this calculation.

This key is a quick calculation of p values to convert form lower to upper tail.

Value | Keystrokes | Display | Description |
---|---|---|---|

0.95 | 1 - x | .05 | Calculates 1 - x. |

This key will create a plot for the number of sccs between x and y.

We will use the shift +/- 3s key to calculate the x and y values for the
given trials and prob.

Value | Keystrokes | Display | Description |
---|---|---|---|

0.7 | prob | 0.70 | Enters the prob value.. |

100 | trials | 100 | Enters the trials value.. |

shift+/-3s | 57.0 | Calculates the upper (reg y) and lower values for the plot. | |

plot(x,y) | Generates the plot. |

Any valid values for sccs can be used for the upper and lower limits of
the plot.

The minimum and maximum values can be in any order.

This key calculates the mean of the distribution.

Value | Keystrokes | Display | Description |
---|---|---|---|

0.7 | prob | 0.70 | Enters the prob value. |

100 | trials | 100 | Enters the trials value. |

mean | 70.0 | Calculates the mean of the distribution. |

This key calculates the standard deviation of the distribution.

Value | Keystrokes | Display | Description |
---|---|---|---|

0.7 | prob | 0.70 | Enters the prob value. |

100 | trials | 100 | Enters the trials value. |

sd | 4.58 | Calculates the standard deviation of the distribution. |

This key will calculate 2 values for sccs that will contain +/- 3
standard deviations, or about 0.997 of outcomes

This is useful for calculating values for plots.

Value | Keystrokes | Display | Description |
---|---|---|---|

0.7 | prob | 0.70 | Enters the prob value.. |

100 | trials | 100 | Enters the trials value.. |

shift+/-3s | 57.0 | Calculates the upper (reg y) and lower values for the plot. | |

SWAP | 84.0 |
Displays the upper value. |

Value | Keystrokes | Display | Description |
---|---|---|---|

52 | = or ENTER | 52.0 | Enters the y value |

1 | rand(x,y) | A random number from 1 - 52. | Enters the x value, then returns a random number between x and y. |

To repeat, press the ROLL key to roll the x and y values down, then
press rand(x,y).

The minimum and maximum values can be in any order.

Value | Keystrokes | Display | Description |
---|---|---|---|

.55 | odds(p) | 11 (successes) |
Calculates the odds (failures to y and successes to x) for the given p. |

SWAP | 9 (failures) |
Displays the failures. |

Value | Keystrokes | Display | Description |
---|---|---|---|

11 | = or ENTER | 11 | Enters the failures value |

13 | p(f,s) | 0.542 | Enters the successes value, then calculates the p for the entered failures and success. |

The reference for keys not covered here can be found in the Basic
SR Calculator documentation.

Long press any key to display a description for that key.