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A university police department receives an average of 3.7 reports per week of lost student ID cards.
a. Find the probability that at most 1 such report will be received during a given week by this police department. Use the Poisson probability distribution formula.
b. Using the Poisson probabilities table, find the probability that during a given week the number of such reports received by this police department is
i. 1 to 4
ii. At least 6
iii. At most 3
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