In one town, the number of burglaries in a week has a Poisson distribution with a mean of 1.9 burglaries. Find the probability that in a randomly selected week the number of burglaries is
At least three. Use the Poisson Distribution to find the indicated probability.
A)0.1710
B)0.1253
C)0.8290
D)0.7037
E)0.2963

Question

Quizplus · Accepted Answer

The probability of at least three burglaries is 1 minus the probability of having 0, 1, or 2 burglaries. Using the Poisson formula, calculate P(X=0), P(X=1), and P(X=2) with λ=1.9, then subtract their sum from 1 to find P(X≥3). This results in approximately 0.2963.

In One Town, the Number of Burglaries in a Week