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# Binomial Dist.

### 4.2

Question | Answer |
---|---|

Whgat are the 4 Binomial Experiment conditions? | 1. (n) Repeated a fixed number of trials. Each trial is independent of other trials. 2. Only 2 outcomes: success (S) and failure (F) 3. P(S) is the same for each trial 4. random variable (x) counts # of successful trials |

What do n, p, q, and x represent? | n: # of times trial repeated p: P(S) q: P(F) x: # of success in n trials |

What's the Binomial probability formula? | P(x)=nCx p^s q^(n-x)=[n!/(n-x)!x!]p^x q^(n-x) |

What's the formula to find the mean population parameter of a binomial distribution | u=np |

What's the formula to find the variance population parameter of a binomial distribution | o^2=npq |

What's the formula to find the standard deivation population parameter of a binomial distribution | o=sq rt npq |

In DC, about 56% of the days in a year are cloudy. Find the mean, variance, and std dev for the of cloudy days in a month. | n=30, p=.56, q=.44 Answer: u=16.8, o^2=7.4, o=2.7 |

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