additional information needed for problem 46 Consider Concep

additional information needed for problem:

4.6. Consider Conceptual Problem 4.3. Suppose the mean lifetime of a processor is 2 years and the coverage factor is.94. What is the probability that the five-processor system functions for 5 years without fail? Assume all processors are operating at time 0. functions for 5 years without fail? Assume all processors are operating at

Solution

Here X_i have iid exp(mean=2) distribution

the coverage factor is .94, so ,

P(X>K)=.94

that implies K=0.123751

that is if the process exceeds .0123751 time this process succeed. and the probability if success is .94

hence Pr( 5 year all 5 process works with fail) = (0.94)^5*5