Question

a. There are 8 possible combinations of birth order for families with 3 children (b = boy and g = girl): bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. Assume all outcomes are equally likely. You select a three-child family at random. What is the probability that at least one child is a boy, given that the first-born was a girl? Round your answer to three decimal

b. A special deck of 20 cards has 5 that are red, 5 yellow, 5 green, and 5 blue. The five cards of each color are numbered 1 to 5. A single card is drawn at random. What is the probability that the card drawn is red, given that it is not green? Round your answer to two decimal places, e.g. 0.38.

c.

The following two-way contingency table gives the breakdown of the population of adults in a town according to their highest level of education and whether or not they regularly take vitamins:

Use of Vitamins | ||

Education | Takes | Does Not Take |

No High School Diploma | 0.03 | 0.07 |

High School Diploma | 0.11 | 0.39 |

Undergraduate Degree | 0.09 | 0.27 |

Graduate Degree | 0.02 | 0.02 |

You select a person at random. What is the probability the person only has a high school diploma?

You select a person at random. What is the probability the person does not have a high school diploma and takes vitamins regularly? Round your answer to two decimal places, eg 0.32.

d.

The following two-way contingency table gives the breakdown of a town's population according to party affiliation (A, B, C, or None) and opinion on a property tax issue:

Opinion | |||

Affiliation | Favors | Opposes | Undecided |

A | 0.12 | 0.09 | 0.07 |

B | 0.16 | 0.12 | 0.14 |

C | 0.04 | 0.03 | 0.06 |

None | 0.08 | 0.06 | 0.03 |

A person is selected at random. What is the probability that the person is in undecided on the property tax issue? Round your answer to two decimal places, eg 0.22.

Answer #1

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