The Chief of the Design Team for a New Missile

Multiple Choice

The chief of the design team for a new missile wants to know the reliability of its guidance system.This system is comprised of three components: a gyroscope,which has a random failure rate of 3 in every 10 launches; a computer,which has a random failure rate of 2 in every 10 launches; and a rocket motor,which has a random failure of 1 in every 10 launches.If they were to connect an identical,backup gyroscope with a perfectly reliable switch to the primary gyroscope,what would be the reliability of the gyroscope function during a launch?

A) 0.3
B) 0.504
C) 0.7
D) 0.889
E) 0.91