Result | ||
---|---|---|

Probability of A NOT occuring: P(A') | 0.5 | |

Probability of B NOT occuring: P(B') | 0.6 | |

Probability of A and B both occuring: P(A∩B) | 0.2 | |

Probability that A or B or both occur: P(A∪B) | 0.7 | |

Probability that A or B occurs but NOT both: P(AΔB) | 0.5 | |

Probability of neither A nor B occuring: P((A∪B)') | 0.3 | |

Probability of A occuring but NOT B: | 0.3 | |

Probability of B occuring but NOT A: | 0.2 |

Probability

Probability of A: P(A) = 0.5

Probability of B: P(B) = 0.4

Probability of A NOT occuring: P(A') = 1 - P(A) = 0.5

Probability of B NOT occuring: P(B') = 1 - P(B) = 0.6

Probability of A and B both occuring: P(A∩B) = P(A) × P(B) = 0.2

Probability that A or B or both occur: P(A∪B) = P(A) + P(B) - P(A∩B) = 0.7

Probability that A or B occurs but NOT both: P(AΔB) = P(A) + P(B) - 2P(A∩B) = 0.5

Probability of neither A nor B occuring: P((A∪B)') = 1 - P(A∪B) = 0.3

Probability of A occuring but NOT B: P(A) × (1 - P(B)) = 0.3

Probability of B occuring but NOT A: (1 - P(A)) × P(B) = 0.2

Probability

Probability of A occuring 5 time(s) = 0.6^{5} = 0.07776

Probability of A NOT occuring = (1-0.6)^{5} = 0.01024

Probability of A occuring = 1-(1-0.6)^{5} = 0.98976

Probability of B occuring 3 time(s) = 0.3^{3} = 0.027

Probability of B NOT occuring = (1-0.3)^{3} = 0.343

Probability of B occuring = 1-(1-0.3)^{3} = 0.657

Probability of A occuring 5 time(s) and B occuring 3 time(s) = 0.6^{5} × 0.3^{3} = 0.00209952

Probability of neither A nor B occuring = (1-0.6)^{5} × (1-0.3)^{3} = 0.00351232

Probability of both A and B occuring = (1-(1-0.6)^{5}) × (1-(1-0.3)^{3}) = 0.65027232

Probability of A occuring 5 times but not B = 0.6^{5} × (1-0.3)^{3} = 0.02667168

Probability of B occuring 3 times but not A = (1-0.6)^{5} × 0.3^{3} = 2.7648e-4

Probability of A occuring but not B = (1-(1-0.6)^{5}) × (1-0.3)^{3} = 0.33948768

Probability of B occuring but not A = (1-0.6)^{5} × (1-(1-0.3)^{3}) = 0.00672768

Probability

The probability between -1 and 1 is 0.68268

The probability outside of -1 and 1 is 0.31732

The probability of -1 or less (≤-1) is 0.15866

The probability of 1 or more (≥1) is 0.15866

CONFIDENCE INTERVALS TABLE | ||
---|---|---|

CONFIDENCE | RANGE | N |

0.6828 | -1.00000 – 1.00000 | 1 |

0.8 | -1.28155 – 1.28155 | 1.281551565545 |

0.9 | -1.64485 – 1.64485 | 1.644853626951 |

0.95 | -1.95996 – 1.95996 | 1.959963984540 |

0.98 | -2.32635 – 2.32635 | 2.326347874041 |

0.99 | -2.57583 – 2.57583 | 2.575829303549 |

0.995 | -2.80703 – 2.80703 | 2.807033768344 |

0.998 | -3.09023 – 3.09023 | 3.090232306168 |

0.999 | -3.29053 – 3.29053 | 3.290526731492 |

0.9999 | -3.89059 – 3.89059 | 3.890591886413 |

0.99999 | -4.41717 – 4.41717 | 4.417173413469 |

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