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10. The principle of redundancy is used when system reliability is improved through redundant or backup...

10. 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 0.0028.

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.

12. The data in the table below summarize results from 130 pedestrian deaths that were caused by accidents. If two different deaths are randomly selected without​ replacement, find the probability that they both involved intoxicated drivers. Is such an event​ unlikely?

_ Pedestrian_Intoxicated Pedestrian_Not_Intoxicated

Driver_Intoxicated 57 31

Driver_Not_Intoxicated 20 22

The probability is____.

​(Round to three decimal places as​ needed.)

Is such an event unlikely

no, because its probability is greater than 0.05

Yes, because its probability is greater than 0.05

no, because its probability is less than 0.05

Yes, because its probability is less than 0.05

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