Reliability (of systems) The reliability R of a system of N independent series components, each having Probability P is determined by:

R = P ´ P ´ P ´ P ´…´ P ´ P (where there are N Ps)

For example, consider a chain made of links each having a probability P of .99 of successfully withstanding a certain load. If 70 of these are connected together (N = 70), the probability of all the links successfully withstanding the load is:

R = 0.99´0.99´0.99´…´0.99 = 0.50

Create an algorithm to determine the number of components N (each having given probability P) to reach a given reliability R.

 

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