Scientific Notation and Probability Study Guide

1. In his history book, John found the population of Texas to be about 2.2 × 107 in January 2003. What is this number written in standard form? 220,000 2,200,000 22,000,000 220,000,000 2. Which number has the greatest value? 3. Which is correctly written in scientific notation? 56 million 4. In a random survey, 25 out of 150 people were able to give a correct answer to the question asked. If 500 people are surveyed, about how many would be expected to answer the question correctly? 4 20 83 325 5. Mike has attempted 84 free throws. Of those attempted, 63 have gone in the basket. Based on this rate, what is the probability that Mike’s next free throw attempt will go in the basket? 1 1 2 3 6. Beth will reach into the bag and randomly choose 1 balloon. What is the probability she will choose a green balloon? 1 2 3 2 7. On yesterday's vocabulary quiz in Ms. Green's class, there were seven "A's", thirteen "B's", four "C's", and two "D's". If Ms. Green returned the papers in random order, what is the probability that the first quiz returned was an "A" or a "B"? 3 7 1 10 8. Look at the table.If Mark randomly chooses 1 of these same-sized pastries from the box, what is the probability that it will have a cream cheese filling? 25% 30% 43% 60% 9. Marcus has a part-time job at the rec center. He has 16 regular basketballs and 4 multi-colored basketballs. If he randomly selects a basketball, what is the probability that he selects a regular basketball? 1 1 1 4 10. A student flips a fair coin 10 times resulting in 7 heads and 3 tails. If the student flips the coin 1000 times, what would be closest to the expected result in regards to the law of large numbers Heads: 150; Tails: 850 Heads: 300; Tails: 700 Heads: 500; Tails: 500 Heads: 700; Tails: 300 11. Jeff put 6 red, 3 white, 4 black, and 7 green marbles into a bag. He randomly chose one marble from the bag and then put it back before choosing the next one, choosing red 7 times, white 1 time, black 2 times, and green 10 times. Fill in the frequency table to record the experimental probability of Jeff selecting a specific marble from the bag. Color of marble Number Red 7 White 1 Black 2 Green 10 12. Jeff put 6 red, 3 white, 4 black, and 7 green marbles into a bag. He randomly chose one marble from the bag and then put it back before choosing the next one, choosing red 7 times, white 1 time, black 2 times, and green 10 times. Fill in the frequency table for the theoreticalprobability of choosing a specific marble from the bag. Color of marble Number Red 6 White 3 Black 4 Green 7 13. Megan bought three different types of individually wrapped cookies and placed them in a bag. The theoretical probability of selecting each kind of cookie is recorded in the table below.Megan brought the cookies to school and had 20 students randomly select a cookie from the bag. She recorded the number of cookies selected in the chart below.Which statement below is true? The theoretical probability of selecting a sugar cookie is greater than the experimental probability of selecting a sugar cookie. The theoretical probability of selecting an oatmeal cookie is less than the experimental probability of selecting an oatmeal cookie. The theoretical probability of selecting an oatmeal cookie is greater than the experimental probability of selecting a chocolate chip cookie. The experimental probability of selecting a chocolate chip cookie is greater than the theoretical probability of selecting a chocolate chip cookie. 14.Which stem-and-leaf plot could NOT be created using the same data? 15. The graph below shows the distribution of points scored by players on the Panthers basketball team.Which of the following statements is true? The mode of the data is 12. The median of points scored is in the 15-19 interval The total number of players is 6. The mean of the points scored is 18. 16. A recent survey asked the question, "How many books do you own?" The results are shown in the histogram below.According to the histogram, how many people own between 6 and 15 books? 4 5 9 11 17. The histogram below shows the distribution of students' grades for Mr. Hart's most recent test.How many students scored at least 71, but not more than 90? 7 8 15 19 18. The histogram below shows the number of extra credit assignments completed last quarter by students in Ms. Mancini's first period. Each student turned in at least one extra credit assignment.Which of the following must be true? One-seventh of Ms. Mancini's students turned in less than 3 extra credit assignments. The number of students who turned in exactly four extra credit assignments was ten less than the number of students who turned in exactly three extra credit assignments. Exactly eight students received an "A" on their extra credit assignments. The number of students who turned in exactly four extra credit assignments was four times the number of students who turned in exactly one extra credit assignment. 19. A sales manager at a computer store recorded the number of computers sold each day over a three month period. The results are shown in the histogram below.How many days were fewer than 60 computers sold over these three months? 56 58 68 70