Question: 5) Suppose we repeat the random sampling n times independently and we get a sequence of n people. Among these n people, n1 are males,
5) Suppose we repeat the random sampling n times independently and we get a sequence of n people. Among these n people, n1 are males, and n0 are females. Among the n1 males, t1 are taller than 6 feet. Among the n0 females, t0 are taller than 6 feet. How to approximate (or estimate) P (A), P (B), P (A|B), P (B|A), and P (A B) using n, n1, n0, t1, t0? (6) Suppose we repeat the random sampling n times independently and we get a sequence of n people. The sample space consists of all possible sequences that are equally likely due to independence between repetitions, and we may call this sample space the "hyper-population of sequences". How many possible sequences in this sample space (or hyper-population)? Explain that your answers in (5) are only approximations to the corresponding probabilities or conditional probabilities due to fluctuations among all the possible sequences in the hyper-population
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