Question 2 To evaluate the quality of a micro-nance program, some participants are selected, and their economic situation measured. In a given...

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Question 2 To evaluate the quality of a micro-ﬁnance program, some participantsare selected, and their economic situation measured. In a given evaluation a sample of100 participants, out of a total 10 000, is randomly selected. Every participant has the same probability of being selected. Assume that 40 out of the 10000 participants have actually seen their economic situationdeteriorate. We seek the probability that at least one of these is in the sample. (a) Describe a sample space S for this problem, and give a formula for |S|. (b) Let E be the event “at least one of the participants in the random selection has seenher / his economic situation deteriorate”. Give a formula for |Ec|. (c) With the help of WolframAlpha, or some other electronic aid, calculate ME).