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Simulating Birthdays A student wants to conduct the

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 3BSC Chapter 4.7

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 3BSC

Problem  3BSC

 

Simulating Birthdays A student wants to conduct the simulation described in Example, but no calculator or computer is available, so the student uses 365 individual index cards to write the individual numbers between 1 and 365. The student then shuffles the cards, selects one, and records the result. That card is replaced, the cards are again shuffled and a second number is drawn. This process is repeated until 25 birthdays are generated. Does this simulation behave the same way as the process of selecting 25 people and recording their birthdays? Why or why not?

 

Step-by-Step Solution:
Step 1 of 3

Solution  3BSC

 

Yes. Since student uses 365 individual cards and every time he/she randomly select the card with replacement so each “birthday” has equally likely chance of being chosen for each of the 25 selections. Therefore this simulation behaves the same way as the process of selecting 25 people and recording the birthday.

Step 2 of 3

Chapter 4.7, Problem 3BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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