Please i need Help with question 1,2,8,14,16,28,31

144 CHAPTER 3 PROBABILITY 35. Security System The access code for a garage door consists of three digits. Each digit can be 0 through 9 and each digit can be repeated. (a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correct access code? (c) What is the probability of not selecting the correct access code? 36. Security System An access code consists of a letter followed by four digits. Any letter can be used, the first digit cannot be 0, and the last digit must be even. (a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correct access code on the first try? (c) What is the probability of not selecting the correct access code on the first try? Using and Interpreting Concepts Wet or Dry? You are planning a three-day trip to Seattle, Washington, in October. Use the following tree diagram to answer each question. 37. List the sample space. Day 1 Day 2 Day 3 38. List the outcome(s) of the event * SSS "It rains all three days." SSR 39. List the outcome(s) of the event "It rains on exactly one day." # SRS SRR 10. List the outcome(s) of the event "It rains on at least one day." RSS RSR RRS - RRR 41. Sunny and Rainy Days You are planning a four-day trip to Seattle, Washington, in October. (a) Make a sunny day/rainy day tree diagram for your trip. (b) List the sample space. (c) List the outcome(s) of the event "It rains on exactly one day." 42. Machine Part Suppliers Your company buys machine parts from three different suppliers. Make a tree diagram that shows the three suppliers and whether the parts they supply are defective. Graphical Analysis In Exercises 43 and 44, use the diagram to answer the question. 43. What is the probability that a registered voter in Pennsylvania voted in the 2006 gubernatorial election? (Source: Pennsylvania Department of State) About 4,092,652 About voted in the 2006 4,090,224 of the Pennsylvania registered voters gubernatorial in Pennsylvania election did not vote3.1 EXERCISES Building and Vocabulary 1, Determine which of the following numbers could not represent the probability of an event. Explain your reasoning. (a) 0 (b) 0.001 (c) -1 (d) 50% (e) 1262 (1) 2/ Explain why the following statement is incorrect: The probability of rain tomorrow is 150%. 3. When you use the Fundamental Counting Principle, what are you counting? 4. Use your own words to describe the law of large numbers. Give an example. Identifying a Sample Space In Exercises 5-8, identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram if it is appropriate. 5, Guessing the initial of a student's middle name 6. Tossing three coins 7. Determining a person's blood type (A, B, AB, O) and Rh-factor (positive, negative) 8, Rolling a pair of six-sided dice Recognizing Simple Events In Exercises 9-12, determine the number of outcomes in each event. Then decide whether the event is a simple event or not. Explain your reasoning. 9. A computer is used to randomly select a number between 1 and 2000. Event A is selecting 359. 10. A computer is used to randomly select a number between 1 and 2000. Event B is selecting a number less than 200. 11. You randomly select one card from a standard deck. Event A is selecting a king. 12. You randomly select one card from a standard deck. Event B is selecting a four of hearts. 13. Job Openings An insurance company is hiring for two positions: an actuary and a claims adjuster. How many ways can these positions be filled if there are 9 people applying for the actuarial position and 15 people applying for the claims adjuster position? 14. Menu A menu has three choices for salad, six main dishes, and four desserts. How many different meals are available if you select a salad, a main dish, and a dessert? 15. Security System The access code for a car's security system consists of four digits. The first digit cannot be zero and the last digit must be odd. How many different codes are available? H* 16. True or False Quiz Assuming that no questions are left unanswered, in how many ways can a six-question true-false quiz be answered?SECTION 3. 1 BASIC CONCEPTS OF PROBABILITY AND COUNTING 143 True or False? In Exercises 17-20, determine whether the statement is true or false. If it is false, rewrite it as a true statement. 17. If you roll a six-sided die six times, you will roll an even number at least once. 18. You flip a fair coin nine times and it lands tails up each time. The probabili- ty it will land heads up on the tenth flip is greater than 0.5. 19. A probability of 0.25 indicates an unusual event. 20. If an event is almost certain to happen, its complement will be an unusual event. Matching Probabilities In Exercises 21-24, match the event with its probability. (a) 0.95 (b) 0.05 (c) 0.25 (d) 0 21. You toss a coin and randomly select a number from 0 to 9. What is the probability of getting tails and selecting a 3? 22. A random number generator is used to select a number from 1 to 100. What is the probability of selecting the number 153? 23. A game show contestant must randomly select a door. One door doubles her money while the other three doors leave her bankrupt. What is the probability she selects the door that doubles her money? 24. Five of the 100 DVD players in an inventory are known to be defective. What is the probability you randomly select an item that is not defective? Classifying Types of Probability In Exercises 25 and 26, classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning. 25. According to company records, the probability that a washing machine will need repairs during a six-year period is 0.10. 26. The probability of choosing 6 numbers from 1 to 40 that match the 6 num- bers drawn by a state lottery is 1/3,838,380 ~ 0.00000026. Finding Probabilities In Exercises 27-30, consider a company that selects employees for random drug tests. The company uses a computer to randomly select employee numbers that range from 1 to 6296. 27. Find the probability of selecting a number less than 1000. 28. Find the probability of selecting a number greater than 1000. 29. Find the probability of selecting a number divisible by 1000. 30. Find the probability of selecting a number that is not divisible by 1000. Probability Experiment In Exercises 31-34, a probability experiment consists of rolling a six-sided die and spinning the spinner shown. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of each event. 31. Event A: rolling a 5 and the spinner landing on blue 32. Event B: rolling an odd number and the spinner landing on green 33. Event C: rolling a number less than 6 and the spinner landing on yellow 34. Event D: not rolling a number less than 6 and the spinner landing on yellow