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4. The principle of redundancy is used when system reliability is improved throu

ID: 3051731 • Letter: 4

Question

4. The principle of redundancy is used when system reliability is improved through I (redundant or backup components. Assume that a student's alarm clock has 12.5% daily failure rate. What is the probability that the student's alarm clock will not work in the morning of an important final exam? (Round to four decimal places) a. If the student has two alarm clocks, what is the probability that they both fail on the morning of an important final exam? (Round to four decimal places) b. Does the second alarm clook improve reliability? (Yes or No) c.

Explanation / Answer

a)P(clock will not work)=0.125

b)P(both fails) =0.125*0.125 =0.015625

c)YEs

(as relaibility in first case =1-0.125 =0.875

while reliability in second case of at least one clock ringing) =1-0.015625=0.984375)

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