Shomee is rolling a die repeatedly. What is the probability that a six will emerge for the first time on the fifth roll? What is the expected number of rolls to get the first six and what is the standard deviation of the number of rolls?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Shomee is rolling a die repeatedly. What is the probability that a six will emerge for the first time on the fifth roll? What is the expected number of rolls to get the first six and what is the standard deviation of the number of rolls?
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ISBN:
9781337282291
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Ron Larson
Publisher:
Cengage Learning