(Expected value) Suppose that we flip a coin until a head first appears, and if the number of tosses equals n, then we are paid 2^n dollars. What is the expected value of the payment?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 23E
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(Expected value) Suppose that we flip a coin until a head first appears, and if the number of tosses equals n, then we are paid 2^n dollars.
What is the expected value of the payment?

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