<s>[INST] Redundancy Conversely, you have 2n skilled workers and 2n unskilled workers sharing the same type of machines for their work. Each worker is in the system for an exponentially distributed amount of time with parameter λ. However, the system has a policy to maintain redundancy for continuity. The system designer calculates that the probability of a machine breakdown is 1/(n+1) at any time. Assume machines operate in tandems, they can be of either both skilled, both unskilled or a mix of skilled and unskilled workers. The involuntary idle time of a worker is exponentially distributed with mean 1/μ because one can commence the set up at the failure of the first machine and the set up alone for the machine follows an exponential distribution with parameter μ. You are given that n=10 and λ = 2. a. What is the probability distribution of the number of teams operating in the system?[/INST]