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# Dispersion & Probability Models Chapter Exam

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#### Question 1 1. Twenty students compete in a school-wide marathon and each student is of comparable running ability. Of the 20 students, 15 were boys and 5 were girls. What is the probability that girls will place 1st, 2nd, and 3rd in the marathon?

#### Question 2 2. In Mr. Martin's math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected?

#### Question 3 3. What is the largest mathematical value in a data set?

#### Question 4 4. Jane has cards with the letters ALABAMA on them. She lays the cards face down. What is the probability of Jane selecting two cards and both of them being a vowel?

#### Question 5 5. If there are two modes, you should _____.

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#### Question 6 6. If you have a combination lock that consists of three numbers, and each number in the combination has 10 options (the digits 0 to 9), how many combinations can you create?

#### Question 7 7. Suppose 10 horses are in a race. How many different ways can the horses be arranged (finishing orders)?

#### Question 8 8. If all other statistical procedures fail, the best predictor of a score will be the _____.

#### Question 9 9. Using a standard deck of cards (which has 26 red cards and 26 black cards, with 13 cards of every suit), what is the probability of selecting a red card, and then after replacing the card, selecting a heart card?

#### Question 10 10. A sample is usually intended to be

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#### Question 11 11. What is the smallest mathematical value in a data set?

#### Question 12 12. 'Variance' is similar to 'standard deviation' in all the following ways EXCEPT:

#### Question 13 13. In a History course, a student's grade is composed of papers (40%), tests (40%) and a final exam (20%). The student has earned a 90 value on all papers and 80 value on all tests. What is the minimum score the student needs to earn on the final exam to achieve an overall grade of a B+ (87.0 before rounding)?

#### Question 14 14. Professor Dublin wants to ensure he is thorough in his review of student performance, so he decides to calculate 'standard deviation' as well. What must Professor Dublin do to figure out this measure of variability?

#### Question 15 15. Find the situation in which you could NOT use the fundamental counting principle.

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#### Question 16 16. Jimmy has the letters for the state of MISSISSIPPI written on cards, one letter per card. He turns the cards over and mixes up the order. If he selects one card at a time without replacing the cards, what is the probability that he will spell the word MISS in order?

#### Question 17 17. A class of 6 boys and 12 girls are preparing for finals. The teacher is going to select 3 students to be exempt from the test. What is the probability that the three students that are exempt will be all boys?

#### Question 18 18. All of the letters of MISSISSIPPI are put in a bag. What is the probability of selecting an M and then after not replacing the letter, selecting a P?

#### Question 19 19. A locker combination contains four numbers between 1 and 20 and none of the numbers can be repeated. What is the probability that the locker combination will consist of all even numbers?

#### Question 20 20. If you roll a die three times, what is the probability of rolling only even numbers?

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#### Question 21 21. Using a standard deck of 52 cards, what is the probability of selecting a 4 and then after not replacing the card, selecting another 4?

#### Question 22 22. Why would you use a weighted average instead of a traditional average calculation?

#### Question 23 23. The Entertainment package on DirecTV currently costs $57.99/month with promotional discounts of $28/month for the first year and $10/month for the second year when signing a two-year contract. The America's Top 120 package on Dish Network costs slightly less at $54.99/month but only has a promotional discount of $25/month for the first year with no discount in the second year when signing a two-year contract. Calculate which service has a lower average monthly price over the two-year period and the difference in the average monthly price between the two packages.

#### Question 24 24. Below is a chart showing the number of goals a hockey team scored in a game and how many times each value occurred over a full 82 game season. Calculate the average number of goals/game that the team scored.

#### Question 25 25. A newspaper company is selecting four houses to receive a free newspaper on your block. There are 10 houses on your block that are numbered 1-10. What is the probability that the four houses selected for a free newspaper will all be even numbered houses?

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####
Question 26
26.
Find the maximum in the data set:

27, 26, 33, 45, 38, 38, 58, 54, 19, 22, 31

#### Question 27 27. Range, standard deviation, and variance are 'similar' in that each looks at

#### Question 28 28. Which of the following is least likely to be reported?

#### Question 29 29. A student's grade in a Psychology course is comprised of tests (40%), quizzes (20%), papers (20%), and a final project (20%). His scores for each of the categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project). Calculate his overall grade.

#### Question 30 30. At a local ice cream parlor, there are 6 different flavors of ice cream from which to select (strawberry, chocolate, vanilla, rocky road, mint chocolate chip, and peanut butter). Each ice cream sundae must include 2 different flavors of ice cream; what is the probability that the next customer's sundae will have vanilla and chocolate (in either order)?

#### Dispersion & Probability Models Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!