The principle of redundancy is used when system reliability is improved through

Question

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 8.5% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? (Round to three decimal places as needed.) b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? (Round to five decimal places as needed.) c. What is the probability or not being awakened if the student uses three independent alarm clocks? (Round to five decimal places as needed.)

Explanation / Answer

a)what is the probability that the students alarm clock will not work on the morning of an important final exam?

8.5% = 0.085

b) If the student has two such alarm clocks, what is the probability that they both fall on the morning of an important final exam?

0.0852 = 0.00723

C) What is the probabiity of not being awakened if the student uses three independent alarm clocks ?

0.0853 = 0.00061

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