solution

This problem presents an algorithm for drawing a simple random sample from a population in a sequential manner. The members of the population are considered for inclusion in the sample one at a time in some pre specified order (for example, the order in which they are listed). The ith member of the population is included in the sample with probability

Where ni is the number of population members already in the sample before the ith member is examined. Show that the sample selected in this way is in fact a simple “random sample; that is, show that every possible sample occurs with probability

 
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