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 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 failure is 0.0062. 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. What is the probability that a particular flight will be threatened with the failure of both radios? Choose the second independent radio increases safety in this case. Choose the correct answer below The second radio makes it impossible for the airplane to crash. The second radio has no effect on safety. With one radio is a 0.0062 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 With one radio there is a 0.0062 probability of a serious problem, but with two independent radios, the probability of a serious problem decreases substantially. The flight much less safe with two independent radios.

Explanation / Answer

Given:

A) Probability of a redio failure is 0.0062.

Hence, probability of failure of both the radios = 0.0062*0.0062 = 0.000038

B)

C. with one radio there is 0.0062 probbaility 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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