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Question 1: An experiment involves inorganic syntheses of molecular precursors to organometallic ceramics, of a five-step reaction the final step involves the formation of a metal-metal bond. The probability of such a bond forming is p = 0.20. Let X equal the number of successful reactions out of n = 25 such experiments. (a) Find the probability that X is at most 4. (b) Find the probability that X is at least 5. (c) Find the probability that X is equal to 6