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The number of computers sold in a local computer store in Albany follows a Poisson distribution...

  1. The number of computers sold in a local computer store in Albany follows a Poisson distribution with a mean of 2 per week (Side note, this store will probably bankrupt soon, and this note has nothing to do with the question). The sales in the store are monitored in periods of 4 weeks.
    1. Find the probability that in the next 4 weeks, only 3 computers will be sold.
    2. Find the probability that in the next 4 weeks, more than 5 computers will be sold.
    3. Find the probability that in the next twelve of these 4 weeks periods, there are exactly nine periods in which more than 5 computers are sold.
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