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Mathematics, 28.10.2020 17:00 holyturnley

A satellite system consists of n components and functions on any given day if at least k of the n components function on that day. On a rainy day, each of the components independently functions with probability p 1 , whereas on a dry day, each independently functions with probability p 2 . If the probability of rain tomorrow is α , what is the probability that the satellite system will function?

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