In a particular measurement system, three identical instruments with an individual reliability of 0.88 are connected together in parallel. (a) Calculate the reliability of the measurement system if it...

In a particular measurement system, three identical instruments with an individual

reliability of 0.88 are connected together in parallel.

(a) Calculate the reliability of the measurement system if it can continue to function as long as all of the instruments do not fail at the same time.

(b) What would the reliability of each instrument have to be to achieve an overall

system reliability of 99.9%?