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{"ops":[{"insert":"In each of the following scenarios, identify the distribution of the random variable X by giving the distribution and the parameter(s). Justify your answer!"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(a) Suppose that drilling for water in a region is successful with probability 0.03 for each hole, independently of other holes. Assume that 10 holes are drilled. Let X be equal to one if at least one of the holes found water, and zero otherwise."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(b) A box contains 10 USB flash drives, and it is known that among them are five second hand flash drives which already contain data. Two flash drives are randomly taken from the box. X is equal to the number of flash drives chosen which already contain data."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(c) Assume that 1% of USB flash drives bought from a street corner vendor are known to be defective. One flash drive is bought from the vendor each day, and X is the number of defective flash drives bought during the first three days."},{"insert":"\n"}]}

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