Question: Rafael is pursuing a major in computer science. He notices that a memory chip containing 212 = 4096 bits is full of data that seems

Rafael is pursuing a major in computer science. He notices that a memory chip containing 212 = 4096 bits is full of data that seems to have been generated, bit-by-bit, at random, with 0's and l equally likely and the bits are stored independently. If the each bit is equally likely to be a 0 or 1, estimate the probability that there are actually 4120 or more l's stored in the memory chip?

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