Answered: Aidan is a goalie for his school’s…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Aidan is a goalie for his school’s hockey team. He normally stops 87% of the shots that come his way. In one particularly bad game, he let five of the 15 shots into the goal. He decides to cheer himself up by convincing himself that this game would be unusual for a goalie who stops 87% of the shots. He uses the table of random digits below using the rule that he will read across the row, two digits at a time, with 01–87 indicating a stop and 88–99 and 00 indicating a goal, until 15 attempts are recorded.

61373 70629 96541 81508 28214 06485

Which of the following statements about this random number table best describes the simulation?

A. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate saves, so in this simulation, Aidan stopped 14 of 15 shots.

B. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate goals, so in this simulation, Aidan stopped one of 15 shots.

C. (61)(37)3 (70)(62)9 (96)(54)1 (81)(50)8 (28)(21)4 (06)(48)5 This random number table cannot be used for the simulation since Aidan can only use two numbers at a time. He can only generate 12 random numbers, not 15.

D. (61)(37)3 7(06)(29) (96)(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) This random number table cannot be used for the simulation since the number 37 is repeated. Aidan must disregard it, and he can only generate 14 numbers, not 15.

E. (61)373 (70)629 (96)541 (81)508 (28)214 (06)485 This random number table cannot be used for the simulation since Aidan can only use the first two digits of every sequence of five digits. He can only generate six random numbers, not 15.

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