Posted: March 10th, 2023
1. Use any book with more than 100 pages and pick a number.
Be sure the number you select is greater than 10 and less than 90.
Try opening the book as close as possible to the page corresponding to the number you chose.
Record the number of pages that are away from the original chosen number.
Conduct 7 trials and observe patterns in the data.
Record the first 7 trials.
2, Now, predict the results of the next 7 trials. Open the book again, 7 more times.
Record the number of pages that are away from your original 7 predicted trials. Record these predicted 7 trials.
Write a report with data and graph both sets of data side by side and compare results. Do the findings relate to binomial theorem and is the data distributed as per the theorem?
Need 3-4 pages in APA format with peer-reviewed citations.
SOLUTION
Abstract
The binomial theorem is a mathematical concept that can be used to determine the probability of a certain number of successes in a certain number of trials. In this experiment, we will use a book with over 100 pages and choose a number between 10 and 90. We will then open the book as close as possible to the page number we have chosen and record the number of pages away from the original number. We will conduct seven trials and observe patterns in the data. We will also predict the results of the next seven trials and record the number of pages away from the original predicted trials. We will compare both sets of data and determine if they relate to the binomial theorem.
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