MAT 125 GENERAL EDUCATION MATHEMATICSShow every bit of work. Remember to read carefully.

Chapter 11 Test

  1. You are taking a multiple-choice test that has five questions. Each of the questions has three answer choices, with one correct answer per question. If you select one of these three choices for each question and leave nothing blank, in how many ways can you answer the questions? (5 pt)
  1. At a benefit concert, ten bands have volunteered to perform but there is only enough time for five of the bands to play. (15 pt)
  1. How many lineups are possible?
  2. Is this a permutation or a combination? Explain.
  1. An ice cream store sells 2 drinks, in 3 sizes and 4 flavors. In how many ways can a customer order a drink? (5 pt)
  1. A box contains 20 transistors, 7 of which are defective. If 7 are selected at random, find the probability that: (15)
  1. All are defective.
  2. None are defective.
  1. The table shows the educational attainment of the population of Mars, ages 25 and over, expressed in millions. Find the probability that a randomly selected Martian, aged 25 and over has completed four years of high school only or is a male. (5 pt)

Years of High School / Years of College / Total
Less than 4 / 4 only / Some (less than 4) / 4 or more
Male / 14 / 26 / 22 / 18 / 80
Female / 14 / 27 / 24 / 23 / 88
Total / 28 / 53 / 46 / 41 / 168
  1. Of 100 persons in a company, 70 are married, 80 are college graduates, and 60 are both married and college graduates. Find the probability that if a person is selected at random from this group, the person will be; (15)

a. Married and a college graduate

b. Married or a college graduate

c. Not married and not a college graduate

  1. If you are given odds of 2 to 3 in favor of winning a bet, what is the probability of winning the bet? (5 pt)

Liberal / Moderate / Conservative
High School Only / 17 / 22 / 16
College / 10 / 14 / 21
  1. The table shows differences in political

ideology, by education, for a random

sample of voters. Use the data to find the

probability that a randomly selected person

from this group attended college, given a

conservative ideology. (5 pt)

  1. It is estimated that there are 35 deaths for every 10 million people who use airplanes. A company that sells flight insurance provides $100,000 in case of death in a plane crash. A policy can be purchased for $1. Calculate the expected value and thereby determine how much the insurance company can make over the long run for each policy that it sells. (15 pt)
  1. A game is played using one die. If the die is rolled and shows a 5, the player wins $5. If the die shows any number other than 5, the player wins nothing. (15 pt)
  1. If there is a charge of $1 to play the game, what is the game’s expected value?
  2. What does this value mean?
  3. What are the odds you will win playing this game?