System reliability: System reliability is concerned with how long a system will operate before it breaks down and repairs are required. In this problem the system is an electric power plan

System reliability: System reliability is concerned with how long a system will operate before it breaks down and repairs are required. In this problem the system is an electric power plant consisting of four generators. These generators operate simultaneously to generate power. We will assume that each generator operates independently of all others. Suppose the probability that a generator fails in the k^th month is given by a geometric probability mass function with probability of failure equal to 0.1. Thus, its probability mass function is:

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