The principle of redundancy is used when system reliability

The principle of redundancy is used when system reliability is improved through redundant or backup components. A regions 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 0.0037. 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? (Round to six decimal places as needed.) Describe how 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. With one radio there is a 0.0037 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. The second radio has no effect on safety. With one radio there is a 0.0037 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.

Solution

probability that a particular flight will be threattened with the failure of both radios

0.0037 * 0.0037 = 0.000014

correct answer

with one radio there is a 0.0037 probability of a serious proble, but with 2 independent radios, the probvability of a serious problem decreases substantially, the flight becomes much safer with 2 indpendent radios