6. Given an random number generator rand5() that generates a uniform random integer in the range 1, 5|, design an algorithm for rand7() that generates a uniform random integer in the range |1, 7|. You can only call the API rand5(), and you shouldn't call any other AlPI. What is the expected mumber of times you call rand5()? How small can you make this expected mumber?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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6. Given an random number generator rand5() that generates a uniform random integer
in the range [1, 5|, design an algorithm for rand7() that generates a uniform random
integer in the range |1, 7|. You can only call the API rand5(), and you shouldn't
call any other API.
What is the expected number of times you call rand5()? How small can you make
this expected mumber?
Transcribed Image Text:6. Given an random number generator rand5() that generates a uniform random integer in the range [1, 5|, design an algorithm for rand7() that generates a uniform random integer in the range |1, 7|. You can only call the API rand5(), and you shouldn't call any other API. What is the expected number of times you call rand5()? How small can you make this expected mumber?
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