Applying the Concepts 6–4
Mountain Climbing Safety
Assume one of your favorite activities is mountain climbing. When you go mountain climbing, you have several safety devices to keep you from falling. You notice that attached to one of your safety hooks is a reliability rating of 97%. You estimate that throughout the next year you will be using this device about 100 times. Answer the following questions.
1. Does a reliability rating of 97% mean that there is a 97% chance that the device will not fail any of the 100 times?
2. What is the
3. What is the complement of this
4. Can this be considered a binomial experiment?
5. Can you use the binomial probability formula? Why or why not?
6. Find the probability of at least two failures.
7. Can you use a
8. Is correction for continuity needed?
9. How much safer would it be to use a second safety hook independent of the first?
See page 368 for the answers.
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Chapter 6 Solutions
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