Question: Suppose you have a collection, S, of n distinct items and you create a random sample, R, of S, as follows: For each x in

Suppose you have a collection, S, of n distinct items and you create a random sample, R, of S, as follows: For each x in S, select it to belong to R independently with probability 1/n^1/2. Derive bounds on the probability that the number of items in R is more than 2n^1/2 or less than n^1/2/2.

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