Commercial aircraft used for flying in instrument conditions are required to 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 safe with at least one working radio? Why does the usual rounding rule of three significant digits not work here? Is this probability high enough to ensure flight safety? (Round to six decimal places as needed)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Commercial aircraft used for flying in instrument conditions are required to 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 safe with at least one working radio? Why does the usual rounding rule of three significant digits not work here? Is this probability high enough to ensure flight safety?

(Round to six decimal places as needed)

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