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 a backup gyroscope with a.90 reliability 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)0.97

Question

Quizplus · Accepted Answer

The reliability of the gyroscope function during a launch is 0.97. This is because the backup gyroscope has a reliability of 0.90, and the primary gyroscope has a reliability of 0.30. The overall reliability of the gyroscope function is therefore 0.90 * 0.30 = 0.97.

The Chief of the Design Team for a New Missile