# Mathematics

1. Let .

Are the events F and G mutually exclusive?

Let be a sample space associated with an experiment.

How many subsets of contain either the number 5 or the number 6?

The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT).

Mode of Transportation | Car | Train | Bicycle | Plane |

Number of Fatalities | 16,525 | 842 | 698 | 538 |

What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places.

In a survey of 900 likely voters, the following question was asked: Do you support using cameras to identify red-light runners? The results of the survey follow:

Answer | Strongly support | Somewhat support | Somewhat oppose | Strongly Oppose | Don’t know |

Respondents | 410 | 212 | 95 | 164 | 19 |

What is the probability that a person in the survey selected at random favors using cameras to identify red-light runners?

According to Mediamark Research, 88 million out of 179 million adults in the United States correct their vision by using prescription eyeglasses, bifocals, or contact lenses. (Some respondents use more than one type.) What is the probability that an adult selected at random from the adult population uses corrective lenses? Round your answer to the nearest thousand^{th}.

The grade distribution for a certain class is shown in the table.

Grade | A | B | C | D | F |

Frequency of Occurrence | 6 | 6 | 18 | 8 | 2 |

What is the probability that a student selected at random from this class received a passing grade (D or better)?

In a survey conducted in 2007 of 954 adults 18 years old and older, the following question was asked: How are American companies doing on protecting the environment compared with companies in other countries? The results are summarized below:

Answer | Behind | Equal | Ahead | Don’t know |

Respondents | 382 | 236 | 240 | 96 |

If an adult in the survey selected at random, what is the probability that he or she said that American companies are equal or ahead on protecting the environment compared with companies in other countries? Round your answer to two decimal places.