1. The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probability of getting exactly three robberies in a day.
a. 0.3213
b. 0.1607
c. 0.8393
d. 0.4137
In the poison distr ibution a discrete random variable has the following probability mass function,
, where is the mean of the distribution and
Given that
Hence the required probability,
So probability of getting exactly three robberies in a day is
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