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Probability and Statistics : Poisson Distributions and Standard DeviationsThe number of violent crimes committed in a large city follows a Poisson distribution with an average rate of 10 per month.a. Find the expected number of violent crimes committed in a 3 month periodb. Find the standard deviation of the number of violent crimes committed in a 3 month periodc. Find the probability that at least 45 violent crimes will be committed in a 3 month periodd. Find the probability that between 25 and 40 violent crimes will be committed in a 3 month periode. Find the probability that less than 20 violent crimes will be committed in a 3 month period
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