# MATHEMATICS

**Question 11 **(20 points)

Question 11 options:

The Contingency table cross classifies institutions of higher education in the United States by region and type, public or private.

Public | Private | Sub total | |

Northeast | 6 | 14 | 20 |

Mideast | 4 | 12 | 16 |

South | 15 | 9 | 24 |

West | 15 | 25 | 40 |

Sub total | 40 | 60 | 100 |

Enter all answer as a fraction (not reduced) or a decimal rounded to 2 decimal places with no 0 to the left of the decimal point.

Do not enter an answer as a percent.

Suppose an institution of higher education is selected at random.

Determine the probability the institution obtained is:

Located in the West?

Located in the Mideast and is a Public Institution?

Located in the West or is a Private Institution?

A Public Institution given the Institution is located in the Northeast?

Located in the Mideast and the Northeast?

**Question 12 **(20 points)

Question 12 options:

A shipment of TVs contains units that are 70% top quality. Thirty percent (30%) of the TVs are poor quality.

Two TVs are randomly selected from the shipment and tested.

What is the probability that both TVs selected are top quality?

Enter answer as a decimal rounded to 2 decimal places.

Do not include the 0 to the left of the decimal point.

Do not enter answer as a percent.

What is the probability that one of or more of the TVs are top quality?

Enter answer as a decimal rounded to 2 decimal places.

Do not include the 0 to the left of the decimal point.

Do not enter answer as a percent.

Question 13 options:

The length of western rattlesnakes are normally distributed with a mean of 60 inches and a standard deviation of 4 inches.

Normal Distribution Calculator http://onlinestatbook.com/2/calculators/normal.html

Enter all probability answers as a decimal rounded to 4 decimal places.

Do not include a 0 to the left of the decimal point.

Do not enter an answer as a percent.

Suppose a rattlesnake is found on a mountain trail:

What is the probability that the rattlesnakes’ length will be equal to or less than 54.2 inches?

What is the probability that the rattlesnakes’ length will be between 54.2 inches and 65.8 inches?

What length must a rattlesnake be to be in the top 10% of it’s species?

Enter this answer as a length rounded to 1 decimal place.

Suppose a nest of 16 rattlesnakes are found on the mountain trail:

What is the probability that the average length of the rattlesnakes will be 60.85 inches or less?