Reliable System from Unreliable Components. NASA is asking you to design a system that reliably performs a task on a space shuttle in the next 3 years with probability of XXXXXXXXXX = 1 − 10−6. In...

Reliable System from Unreliable Components. NASA is asking you to design a system that reliably performs a task on a space shuttle in the next 3 years with probability of 0.999999 = 1 − 10−6. In other words, the probability of failing during the next three years should not exceed one in a million. However, at your disposal you have components that in the next 3 years will fail with a probability of 0.2. Luckily, the weight and price of the components are not an issue and you can combine/link them to increase the system’s reliability.

(a) Should you link the components in a serial or parallel fashion to increase the probability of reliable performance?

(b) What minimal number of components should be linked as in (a) to satisfy NASA’s requirement of 0.999999 probability of reliable performance?