Name: Date: Interim 13 ACT Aspire, ProCore, and AIR Practice Site Statistics and Probability Int Math 2


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1 1. Standard: S.ID.C.7: The graph below models a constant decrease in annual licorice sales for Licorice Company, Inc., from 1998 through The points have been connected to illustrate the trend. Which of the following values is closest to the amount, in dollars, of the decrease per year? A. $ 5,000 B. $ 6,667 C. $ 8,333 D. $10,000 E. $15, Standard: S.ID.A.2: The mean of 3 numbers is a. Given that the 1st and 2nd numbers stay the same and the 3rd number is increased by 6, what is the new mean in terms of a? A. a + 2 B. a + 6 C. 3a + 2 D. 3a + 6 E. (a/3) Standard: S.CP.A.1: The Pittstown Panthers cheerleading squad, consisting of 3 males and 6 females, is planning a special halftime program. The program will be performed on the rectangular football field that measures 53 1 /3 yards by 0 yards. The program includes circle and line formations by the squad, a remotecontrolled helicopter landing, and a raffleticket drawing for a hotair balloon ride. The squad has 720 raffle tickets to sell at $3 each. In how many different arrangements (by person, not by gender) can the cheerleaders march, one behind the other, onto the football field? A. 8 B. 9 C. 72 D. 8! E. 9!
2 4. Standard: S.CP.A.1: The large square below is divided into 3 rows of equal area. In row 1, the area labeled A is equal to the area labeled B. In row 2, the area of A is equal to the area of B, which is equal to the area labeled C. In row 3, the area of A is equal to the area of C, and the area of B equals the sum of the areas of A and C. If a point is picked at random inside the large square, what is the probability that the point is in a region labeled B? A. 1 /7 B. 3 /8 C. 7 /18 D. 3 /7 E. 4 /9 5. Standard: Understand independence and conditional probability and use them to In a hospital unit there are eight nurses and 5 physicians. Seven nurses and three physicians are female. Part A How many males are there? Part B If a staff person is selected, find the probability that the subject is a nurse or a male. A. 11 B. 10 C. D Standard: Use the rules of probability to compute probabilities of compound You select one card at random, from a standard deck of playing cards. There are 52 cards in the deck with 13 cards in each of 4 different suits (hearts, diamonds, clubs, and spades). What is the probability that you select a king or a diamond? A. 4 / /521 /52 B. 4 /52 * 13 /521 /52 C. 4 / /52 D. 4 / / /52
3 7. Standard: Understand independence and conditional probability and use them to (Mark E on grade cam sheet and put answer on short answer document.) Use the data in the following table, which shows the results of a survey of 200 boys about their favorite home video game systems, organized by age group. If a survey participant is selected at random, determine the probability that he prefers the Wii U system, given that the boy is in high school. Middle School Boy High School Boy Xbox One Wii U Playstation 4 Total Totals Standard: Use the rules of probability to compute probabilities of compound What is the probability of spinning a white section or a number less than 3? A. 2 /3 B. 1 /2 C. 3 /8 D. 5 /8 9. Standard: Understand independence and conditional probability and use them to There are 65 freshmen, 60 sophomores, 50 juniors and 25 seniors in the high school cafeteria. If a student was selected at random, what is the probability that they aren t a junior or a senior? A B C D
4 10. Standard: Use the rules of probability to compute probabilities of compound There are 5 blue cars and 5 red cars in a toy chest along with 6 yellow trains and 4 black trains. If you select a toy without looking, what is the probability that you select a blue car or a black train? A. 9 /10 B. 1 /5 C. 1 /4 D. 9 / Standard: Understand independence and conditional probability and use them to Use the data in the following table, which shows the results of a survey of 200 boys about their favorite home video game systems, organized by age group. If a survey participant is selected at random, determine the probability the gamer prefers Sega Dreamcast, given they are over 25 years old. A. 136 /2000 B. 469 /581 C. 136 /469 D. 136 /581 Age Group Sony PS 2 Microsoft Xbox Nintendo Game Cube Sega Dream cast Totals Totals Standard: Use the rules of probability to compute probabilities of compound You select one card at random, from a standard deck of playing cards. There are 52 cards in the deck with 13 cards in each of 4 different suits (hearts, diamonds, clubs, and spades). What is the probability that you select a face card (jack, queen, or king) or a heart? A. / / /52 B. / /523 /52 C. /52 * 13 /523 /52 D. / /52
5 13. Standard: Understand independence and conditional probability and use them to Given that P(A) =.7, P(B) =.2, and P(A and B) =.14, determine if events A and B are independent. A. No, because P(A) + P(B) P(A and B). B. Yes, because P(A) P(B) = P(A and B). C. None of the choices listed. D. We can t tell because the P(A or B) is not given. 14. Standard: Use the rules of probability to compute probabilities of compound You choose a card at random from a shuffled, standard deck of 52 cards. There are 52 cards in the deck with 13 cards in each of 4 different suits (hearts, diamonds, clubs, and spades). What is the probability that the card chosen is a face card (Jack, Queen, or King) given that it is a diamond? A. 1 /3 B. 3 /52 C. 3 D. 1 /4 15. Standard: Use the rules of probability to compute probabilities of compound There are 5 blue cars and 5 red cars in a toy chest along with 6 yellow trains and 4 black trains. If you select a toy without looking, what is the probability that you select a blue car or a black train? A. 9 /10 B. 1 /5 C. 1 /4 D. 9 / Standard: S.CP.A.4: (Mark E on grade cam sheet and put answer on short answer document.) Adults Children Total A total of 200 people attend a party, Male 80 as shown in the table. A person is selected at random to win a prize. The probability of selecting a female is 0.6. Female 0 The probability of selecting a child, given that the person is female, is The probability of selecting a male, given that the person is a child, is 0.4. Total Complete the twoway table to show the number of adults, children, males, and females who attended the party.
6 17. Standard: S.CP.C.3: Francisco asks the students in his school what pets they have. He studies the events shown. Event S: The student has a cat. Event T: The student has a dog. Francisco finds that the two events are independent. Select all the equations that must be true for events S and T. A. P(S T) = P(S) B. P(S T) = P(T) C. P(T S) = P(S) D. P(T S) = P(T) E. P(S T) = P(S) P(T) F. P(S T) = P(S) P(T) 18. Standard: S.CP.C.5: Sam is picking fruit from a basket that contains many different kinds of fruit. Which set of events is independent? A. Event 1: He picks a kiwi and eats it. Event 2: He picks an apple and eats it. B. Event 1: He picks an apple and eats it. Event 2: He picks an apple and eats it. C. Event 1: He picks a kiwi and eats it. Event 2: He picks a kiwi and puts it back. D. Event 1: He picks a kiwi and puts it back. Event 2: He picks an apple and puts it back. 19. Standard: S.CP.C.7: (Mark E on grade cam sheet and put answer on short answer document.) The probability of flipping a fair coin and heads landing face up is 0.5. The probability of rolling a fair number cube, with sides numbered 1 through 6, and an odd number landing face up is 0.5. What is the probability of flipping heads or rolling an odd number?
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