Chapter 6 Solutions - 148 Chapter 6 Chapter 6 6.1 Answers will vary but examples are(a Flip the coin twice Let HH represent a failure and let the other

Chapter 6 Solutions - 148 Chapter 6 Chapter 6 6.1 Answers...

This preview shows page 1 - 3 out of 22 pages.

Chapter 6 6.1 Answers will vary but examples are: (a) Flip the coin twice. Let HH represent a failure, and let the other three outcomes, HT, TH, TT, represent a success. (b) Let 1, 2, and 3 represent a success, and let 4 represent a failure. If 5 or 6 come up, ignore them and roll again. (c) Peel off two consecutive digits from the table; let 00 through 74 represent a success, and let 75 through 99 represent a failure. (d) Let diamonds, spades, clubs represent a success, and let hearts represent a failure. You must replace the card and shuffle the deck before the next trial to maintain independence. 6.2 Flip both nickels at the same time. Let HH represent a success (the occurrence of the phenomenon of interest) and HT, TH, TT represent a failure (the nonoccurrence of the phenomenon). 6.3 (a) Obtain an alphabetical list of the student body, and assign consecutive numbers to the students on the list. Use a random process (table or random digit generator) to select 10 students from this list. (b) Let the two-digit groups 00 to 83 represent a “Yes” to the question of whether or not to abolish evening exams and the groups 84 to 99 represent a “No.” (c) Starting at line 129 in Table B (“Yes” in boldface) and moving across rows: Repetition 1: 36, 75, 95, 89, 84, 68, 28, 82, 29, 13# “Yes”: 7. Repetition 2: 18, 63, 85, 43, 03, 00, 79, 50, 87, 27# “Yes”: 8. Repetition 3: 69, 05, 16, 48, 17, 87, 17, 40, 95, 17# “Yes”: 8. Repetition 4: 84, 53, 40, 64, 89, 87, 20, 19, 72, 45# “Yes”: 7. Repetition 5: 05, 00, 71, 66, 32, 81, 19, 41, 48, 73# “Yes”: 10. (Theoretically, we should achieve 10 “Yes” results approximately 17.5% of the time.) 6.4 (a) A single random digit simulates one shot, with 0 to 6 representing a made basket and 7, 8, or 9 representing a miss. Then 5 consecutive digits simulate 5 independent shots. (b) Let 0–6 represent a “made basket” and 7, 8, 9 represent a “missed basket.” Starting with line 125, the first four repetitions are: Repetition 9 67 4612149 37 8 237 18 6Number of misses (2) (1) (2) Each block of 5 digits in the table represents one repetition of the 5 attempted free throws. The underlined digits represent made baskets. We perform 46 more repetitions for a total of 50, and calculate the relative frequency that a player misses 3 or more of 5 shots. Here are the numbers of baskets missed for the 50 repetitions. 2 1 2 3 1 1 0 1 3 2 2 2 3 3 2 1 2 4 0 1 1 1 2 1 2 1 0 1 0 2 3 3 2 3 3 1 2 0 2 3 1 2 3 2 1 2 2 2 1 0 A frequency table for the number of missed shots is shown below. Number of misses 0 1 23Frequency 6 15 1810 8 (3) 4 5 1 0 148 Chapter 6