Praxis I Math: Basic Statistics and Probability Chapter Exam

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!

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Question 1 1.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that Kyle will select a jazz CD from the box, and then, without replacing the CD, select a country CD?

Question 2 2. When you roll two six-sided dice, what is the probability you get a sum of 7?

Question 3 3. 'Variance' is similar to 'standard deviation' in all the following ways EXCEPT:

Question 4 4. How do you demonstrate an understanding of an experiment?

Question 5 5.

Kyle works at a local music store. The store receives a shipment of new CDs in a box. In the shipment, there are 10 country CDs, 5 rock CDs, 12 hip hop CDs, and 3 jazz CDs.

What is the probability that the first CD that Kyle pulls from the box will NOT be hip hop?

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Question 6 6. Solve the expression 5P4 (P = permutation )

Question 7 7. A game is played where you draw two cards from a deck of 52 cards. If the cards are both jacks, then you win $5. Otherwise you lose $1. If you play this game, then what can you expect to win or lose in the long run?

Question 8 8. When you roll two six-sided dice, what is the probability of getting a sum of 11?

Question 9 9. What are a sequence of equally distributed variables?

Question 10 10. The letters that spell out the state CALIFORNIA are cut and placed in a bag. What is the probability that the 3rd letter selected will be a C if the first two letters selected were both I's? (Letters were not replaced)

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Question 11 11. Jimmy is making multi-flavored ice cream cones by scooping in different flavors one at a time. Jimmy has 6 different flavors but can only put 3 flavors in each cone. The order of the flavors is important to him as it affects how he tastes each ice cream. How many different arrangements of cones can Jimmy make?

Question 12 12. The numbers 1 through 20 are written on separate slips of paper and placed in a hat. One of the slips is randomly drawn. What is the probability that either a prime number or a number less than 10 is drawn?

Question 13 13. Which of the following is a type of random sampling?

Question 14 14. You are creating a tree house and have made the doorway into the structure 71 inches tall. Suppose the average height of adult males is 68 inches with a standard deviation of 3 inches. What percentage of men will have to bend their heads to get into the house?

Question 15 15. A normal deck of cards has 52 cards in it with four different suits (hearts, spades, clubs, diamonds). What is the probability of drawing an ace of spades or a 3 (from any suit) from a normal deck of cards?

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Question 16 16. You roll a 6-sided die. What is the probability that the number rolled will be odd or prime? (1 is not a prime number)

Question 17 17. What type of data uses two sets of variables that can change and are compared to find relationships?

Question 18 18. What is the name of the group that remains untreated throughout the duration of an experiment?

Question 19 19. Professor Dublin has just given a biology exam and wants to calculate the 'range' of performance of his students. What must he do?

Question 20 20. Brittany is conducting an experiment in her home economics class. She wants to know if adding an extra ingredient, cinnamon, to her pancakes will make them taste better. She decides to give the first period home economics class regular pancakes, and the second period home economics class the cinnamon pancakes. She asks each group to rank the pancakes on a scale from 1 to 5. What is the control group in this scenario?

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Question 21 21. Twelve employees at a local company decide to go out for lunch. Of the 12 employees, 8 are men and 4 are women. If a woman is the first to order, what is the probability that a man will be the next person to order lunch?

Question 22 22. A game of Blackjack is played. Suppose you are the first player dealt with a new pack of cards. What is the probability you get an ace and a jack (in any order)?

Question 23 23. Kate and Kyle are playing a game. They must flip a coin and spin a spinner that has 12 equal sections numbered 1 through 12. What is the probability that Kyle will flip a heads and spin the spinner and get an even number?

Question 24 24. Naomi is buying a ticket for the lottery. She can pick 5 numbers, 1 through 15, with no numbers repeating. Order does not matter for her to win. What are her chances of winning?

Question 25 25. A researcher is studying a population, and decides to use simple random sampling. Why might they have made this decision?

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Question 26 26. When you find a relationship in bivariate data, you are looking at a positive or a negative _____.

Question 27 27. 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 28 28. What do one-sided problems involve?

Question 29 29. The probability of selecting a brown M&M from a bag is 1 out of 4. If 8 M&Ms are selected, what is the probability that at least one of them is brown?

Question 30 30. You play a game with two six-sided dice. If you roll a sum of 6 or 8, you win $3. If you roll a sum of 11, you win $1, but for anything else, you lose $2. If you continue to play this game, what do you expect to win in the long run?

Praxis I Math: Basic Statistics and Probability 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!

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