(Answered) The number of violent crimes committed in a large city

Statistics

The 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 period

b. Find the standard deviation of the number of violent crimes committed in a 3 month period

c. Find the probability that at least 45 violent crimes will be committed in a 3 month period

d. Find the probability that between 25 and 40 violent crimes will be committed in a 3 month period

e. Find the probability that less than 20 violent crimes will be committed in a 3 month period

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