Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Stats Chapter 6

### Normal Probability Distributions

Term | Definition |
---|---|

Normal probability distribution | Distribution of probabilities that plots all of its values in a symmetrical fashion and most of the results are situated around a probability's mean; values are equally likely to plot above or below the mean |

What types of variables have a normal or an approximately normal distribution? | Continuous random variables (weight) and Discrete random variables (score from test with set number of questions) |

What are the first 2 properties of the standard normal distribution? | 1) The total area under the normal curve is equal to 1. 2) The distribution is mounded and symmetrical; it extends indefinitely in both directions, approaching but never touching the horizontal axis |

What are the other 3 properties of the standard normal distribution? | 3) The distribution has a mean of 0 and a standard deviation of 1 4) The mean divides the area in half (0.50 on each side) 5) Nearly all the area is between z - -3.00 and 3.00 |

Standard normal distribution | The normal distribution of the standard variable z |

The standard normal distribution is also known as... | Standard score Z-score |

Binomial distribution | Probability distribution of the discrete random variable x, the number of successes observed in "n" repeated trials; as "n" trials becomes larger, the probability distribution appears more normal |

What is the main difference between the binomial and normal probability distribution? | Binomial: random variable is discrete Normal: random variable is continuous |

Continuity Correction Factor | Addition and subtraction of 0.5 to the x-value to convert a discrete random variable into a continuous one |

Mean in a binomial distribution | u = np |

Standard deviation in a binomial distribution | o = sqrt(npq) |

Rule for binomial distribution | normal distribution provides a reasonable approximation to a binomial probability whenever the values of np and n(1-p) both equal or exceed 5. |

Created by:
14madmil