In each pack of chocolate balls made by a certain chocolatier, there is a plastic model of a planet from the solar system. The model planets can not be seen or felt before opening the packs. Suppose, only eight distinct models of the planets are available and they are distributed uniformly among the packs. Determine the expected number of packs of chocolate balls which one needs to buy to collect at least one specimen of each of the model planets. Compute the variance of the corresponding random variable.
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In each pack of chocolate balls made by a certain chocolatier, there is a plastic model of a planet from the solar system. The model planets can not be seen or felt before opening the packs. Suppose, only eight distinct models of the planets are available and they are distributed uniformly among the packs. Determine the expected number of packs of chocolate balls which one needs to buy to collect at least one specimen of each of the model planets. Compute the variance of the corresponding random variable.
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