Description UNFORMATTED ATTACHMENT PREVIEW 3.4.1 Practice: Assignment Statistics and Probability Se ...
Description UNFORMATTED ATTACHMENT PREVIEW 3.4.1 Practice: Assignment Statistics and Probability Sem 2 Practice Name: Date: Answer the following questions using what you've learned from this unit. Write your responses in the space provided. Scoring: Each correct answer is worth 1 point. Where calculations are needed to find the answer, you must show your work to receive credit. For questions 1 – 2, use the following prompt to calculate the mean (expected value) of the described probability distribution. There is a game at the carnival that costs $20 to play. There are two outcomes: either you win a prize worth $100, or you lose. To play, you roll a number cube. If a 6 appears, you win; all other rolls, you lose. Include the cost of playing the game in the expected value. 1. What is the mean (or expected 2. If 1000 people played this game value) of the game? during one afternoon, what would Answer choices: –$1.67 you expect to be the outcome? Round your answer to the nearest $10. –$3.33 $1.67 Answer choices: $3.33 The game earns $3330. The game earns $1670. The game loses $3330. The game loses $1670. For questions 3 – 4, use the given information to answer each question. 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 1/9 3. If a probability distribution has probabilities 0.22, 0.37, 0.13, and x, what is the value of x? Answer choices: 0.72 0.28 0.24 0.18 4. The table below shows the distribution of student ages in a high school with 1000 students. Age (x) 13 14 15 16 17 18 Number of students 10 240 250 270 220 10 Probability Which row of probabilities correctly completes this probability distribution for the student ages in the high school? Answer choices: Probability 0.01 0.22 0.25 0.24 0.27 0.01 Probability 0.01 0.27 0.25 0.24 0.22 0.01 Probability 0.01 0.24 0.25 0.27 0.22 0.01 Probability 0.01 0.27 0.24 0.25 0.22 0.01 For questions 5 – 6, use the probability distribution for the student ages in the high school given in question 4. 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 2/9 Age (x) 13 14 15 16 17 18 Number of students 10 240 250 270 220 10 Probability 5. What is the probability that a 6. What is the expected value for the randomly chosen student from this age of a randomly chosen student in high school will be between the ages this high school? of 14 and 17, inclusive? Answer choices: Answer choices: 15.42 0.98 15.43 0.76 15.48 0.74 15.57 0.52 For questions 7 – 8, determine which of the described situations can be considered binomial experiments. 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 3/9 7. Which of these situations can be 8. A battery manufacturer knows considered a binomial experiment? from previous data that 2% of one Answer choices: Rolling a single number cube until you get a 4 Asking 35 students how tall they are and recording their answers type of battery are defective. A quality control inspector randomly selects batteries until a defective one is found. Is this a binomial experiment? Why or why not? Answer choices: No, because each trial cannot be Tossing a coin 40 times and classified as a success or failure. recording the number of times it lands on tails No, because the number of trials is not fixed. Drawing one marble at a time from a bag containing 10 red and 7 blue No, because the trials are not marbles (and replacing after each independent. draw) until you have drawn 5 blue marbles Yes, because the situation satisfies all four conditions for a binomial experiment. For question 9, identify the correct notation for the described component of the binomial experiment. 9. A store runs a promotion in which one out of four boxes of a certain item includes a coupon for $1 off the purchase price. The store sells 50 boxes of this item per day. Which of the following would represent the probability of buying a box that does not include a coupon? 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 4/9 Answer choices: x P n Q For questions 10 – 11, use the information given in each question to find the described probability. 10. A company finds that 45% of 11. Henry had a batting average of first-time visitors to its website do not 0.340 last season. (Out of 500 at- buy any of its products. If there are bats, he had 170 hits.) If his batting 75 first-time visitors on a given day, average stays the same this year, what is the probability that exactly what is the probability that he'll get 36 of them buy a product? Round exactly 8 hits in his next 20 at-bats? your answer to the nearest Round your answer to the nearest thousandth. thousandth. Answer choices: Answer choices: 0.044 6.820 0.080 0.788 0.450 0.154 0.550 0.297 For questions 12 – 13, use the described binomial probability distribution to calculate the mean (expected value) and the standard deviation. Brent golfs for the Forestville High School team. During team practices, he can make a 10-foot putt 80% of the time. 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 5/9 12. If Brent takes 200 10-foot putts 13. If Brent takes 200 10-foot putts for practice, what is the number of for practice, what is the standard putts he can expect to make? deviation of the number of putts he Answer choices: 120 will make? Round your answer to two decimal places. 140 Answer choices: 160 5.66 180 11.31 16 32 For questions 14 – 16, use the prompt to answer each of the questions. Over 7000 students attend a college. The college knows that 10% of the students are left-handed. Some new lecture halls are planned that will seat 400 students. The college wants to ensure that there are enough left-handed desks. A group of 400 students is randomly selected from the student population. 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 6/9 14. What is the expected number 15. What is the standard deviation of (mean) of left-handed students in the the number of left-handed students random sample of 400? in the random sample of 400? Answer choices: Answer choices: 10 6 40 6.32 70 40 360 36 16. What is the probability that there will be between 34 and 46 lefthanded students in a group of 400? Round your answer to three decimal places. Answer choices: 0.680 0.860 0.722 0.180 For questions 17 – 20, use the situations to calculate the cumulative binomial probabilities. JoAnn’s basketball coach has recorded statistics for each of his players throughout the season. He knows that JoAnn typically makes 70% of her free throws. JoAnn’s team is playing in the championship tournament. Assuming that she attempts 16 free throws during the tournament, find each probability below. 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 7/9 17. What is the probability that she 18. What is the probability that she will make at least 10 of her free will make at most 12 of her free throws? Round your answer to the throws? Round your answer to the nearest thousandth. nearest thousandth. Answer choices: Answer choices: 0.175 0.246 0.340 0.901 0.825 0.754 0.660 0.204 Henry had a batting average of 0.340 last season. (Out of 500 at-bats, he had 170 hits.) Assuming that his batting average stays the same this year, find each probability. 19. Of his next 20 at-bats, what is the 20. Of his next 20 at-bats, what is the probability that he gets at least 8 probability that he gets at most 8 hits? Round your answer to three hits? Round your answer to three decimal places. decimal places. Answer choices: Answer choices: 0.209 0.546 0.362 0.638 0.546 0.724 0.638 0.791 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 8/9 Copyright © 2019 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning ® and the Apex Learning Logo are registered trademarks of Apex Learning Inc. 3.4.1 Practice: Assignment Copyright © 2022 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. 9/9 Purchase answer to see full attachment Explanation & Answer: 1 Worksheet User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.
