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.What is the probability that the gyroscope will perform reliably during a launch?
A)0.300
B)0.504
C)0.700
D)0.889
E)0.910

Question

Quizplus · Accepted Answer

The reliability of the gyroscope is the probability that it will not fail, which is 1 minus the failure rate. The failure rate is 3 in every 10 launches, so the reliability is 1 - 0.3 = 0.7 or 70%.

The Chief of the Design Team for a New Missile