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Answer:
2.86% probability that there are exactly 3 crimes during the next hour
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
In a city with 40000 people, each person has a 0.00020 probability of committing a crime each hour.
So
What is the probability that there are exactly 3 crimes during the next hour
This is P(X = 3).
2.86% probability that there are exactly 3 crimes during the next hour