The star quarterback of a university football team has decided to return for one more season. He tells one person, who in turn tells someone else, and so on, with each person talking to someone who has not heard the news. At each step in this chain, if the message heard is "yes" (he is returning) then there is a 5% chance it will be changed to "no," and if the message heard is "no," then there is a 15% chance that it will be changed to "yes." Determine the probability that the fourth person in the chain hears the correct news. (A graphing calculator is recommended. Assume that the quarterback is not part of the chain. Round your answer to one decimal place.)

The star quarterback of a university football team has decided to return for one more season. He tells one person, who in turn tells someone else, and so on, with each person talking to someone who has not heard the news. At each step in this chain, if the message heard is "yes" (he is returning) then there is a 5% chance it will be changed to "no," and if the message heard is "no," then there is a 15% chance that it will be changed to "yes." Determine the probability that the fourth person in the chain hears the correct news. (A graphing calculator is recommended. Assume that the quarterback is not part of the chain. Round your answer to one decimal place.)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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