Let p denote the probability that a particular item A appears in a simple random sample (SRS). Suppose we collect 5 independent simple random samples, i.e., each SRS is obtained by drawing from the entire population. Let X denote the random variable for the total number of times that A appears in these 5 samples. What is the expected value of X, i.e., E[X]? Your answer should be in terms of p. What is V ar(X)? Again, your answer should be in terms of p.
Expected value of X
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