5. Suppose you start with z 1 and append digits to the end of z, each chosen mutually independently and uniformly at random from [0..9]. You repeat this process until z is even or z has 6 digits. What is the expected number of digits in z at the end of this process? For example, one possible instance of this process would be 1 17 → 173 1731 17310, at which point the process stops because z = 17310 is even.

5. Suppose you start with z 1 and append digits to the end of z, each chosen mutually independently and uniformly at random from [0..9]. You repeat this process until z is even or z has 6 digits. What is the expected number of digits in z at the end of this process? For example, one possible instance of this process would be 1 17 → 173 1731 17310, at which point the process stops because z = 17310 is even.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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