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What is the expected number of lightbulbs

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Consider an n × n array of switches. Each row i of switches corresponds to a single lightbulb Li , so that Li lights up if at least i switches in row i are flipped on. All of the switches start in the "off" position, and each are flipped "on" with probability p, independently of all others. What is the expected number of lightbulbs that will be lit up? Express your answer in closed form without any summations

Reference no: EM132850947

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