Answer
6
Work Step by Step
This distribution is simply a geometric distribution with $p = 1/6$, since a sum of 7 is rolled with probability 1/6. Hence expected the number of rolls is $1/p = 6$.
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
Published by
McGraw-Hill Education
ISBN 10:
0073383090
ISBN 13:
978-0-07338-309-5
Chapter 7 - Section 7.4 - Expected Value and Variance - Exercises - Page 492: 13
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