Stats Modeling the World, 4th Edition

Published by Pearson
ISBN 10: 0133151549
ISBN 13: 978-0-13315-154-1

Chapter 11 - Sample Surveys - Exercises: 11

Answer

a) According to this simulation, there is an equal probability of tossing any combination of heads or tails. b) According to this simulation, there is an equal chance of making or missing the shot. c) According to this simulation, the probability of getting any denomination the first time is equal to the probability of getting that same denomination a second, third, or fourth time. This simulation also allows for choosing five of the same denomination, which is impossible in a normal deck.

Work Step by Step

a) By using random integers 0-9, the simulation shows that each number of heads is equally likely. However, this is contrary to real-world probability; for instance, it is more likely to get 4 heads than 9. b) By using odd/even digits, the simulation shows that there is an equal chance of getting either a shot or a miss. While it COULD be possible if the player's average is exactly 50%, the shooting probability depends on the player's skill. c) By using digits 1-13, the simulation allows for repeated digits to be used; each digit represents all four suits for that denomination. So, as a digit is selected, there is still an equally likely chance to choose that digit again, but in real life, selecting an Ace, for instance, would decrease the probability of selecting it a second time. Additionally, since repeats can be selected, and five digits total are selected, it is possible for five of the same denomination to be selected, which cannot occur in a normal deck.
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