6) The principle of redundancy is used when system reliability is improved throu

Question

6)

The principle of redundancy is used when system reliability is improved through redundant or backup components. A region's government requires that commercial aircraft used for flying in hazardous conditions must have two independent radios instead of one. Assume that for a typical flight, the probability of a radio failure is 0.0042.

What is the probability that a particular flight will be threatened with the failure of both radios? Describe how the second independent radio increases safety in this case.

Describe how the second independent radio increases safety in this case. Choose the correct answer below.

A. The second radio makes it impossible for the airplane to crash.

B. With one radio there is a 0.0042 probability of a serious problem, but with two independent radios, the probability of a serious problem increases substantially. The flight becomes much less safe with two independent radios.

C. With one radio there is a 0.0042 probability of a serious problem, but with two independent radios, the probability of a serious problem decreases substantially. The flight becomes much safer with two independent radios.

D. The second radio has no effect on safety

Explanation / Answer

probability that a particular flight will be threatened with the failure of both radios =0.0042*0.0042=0.0000176

hence probabilty that at leasr one radio works=1-probability that both radio stop working =1-0.000176=0.9999824

hence option C is correct C. With one radio there is a 0.0042 probability of a serious problem, but with two independent radios, the probability of a serious problem decreases substantially. The flight becomes much safer with two independent radios.

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