Problem 8CQQ

In Exercises, use the following: Five U.S. domestic flights are randomly selected, and the table in the margin lists the probabilities for the number that arrive on time (based on data from the Department of Transportation). Assume that five flights are randomly selected.

What is the probability that at least three of the five flights arrive on time?

x |
P(x) |

0 |
0+ |

1 |
0.006 |

2 |
0.048 |

3 |
0.198 |

4 |
0.409 |

5 |
0.338 |

Answer:

Step 1 of 1

Five U.S. domestic flights are randomly selected, and the table in the margin lists the probabilities for the number that arrive on time. By assuming that five flights are randomly selected.

x |
P(x) |

0 |
0+ |

1 |
0.006 |

2 |
0.048 |

3 |
0.198 |

4 |
0.409 |

5 |
0.338 |

The probability that at least three of the five flights arrive on time is

P(X 3) = P(X = 3) + P(X = 4) + P(X = 5)

= 0.198 + 0.409 + 0.338

= 0.945.