Use the Poisson Distribution to find the indicated probability. Round to three decimal places when necessary.
-In one town, the number of burglaries in a week has a Poisson distribution with parameter $\lambda$ = 4.7 Find the probability that in a randomly selected week the number of burglaries is at least three.
A)0.152
B)0.157
C)0.848
D)0.690

Question

Use the Poisson Distribution to find the indicated probability. Round to three decimal places when necessary.
-In one town, the number of burglaries in a week has a Poisson distribution with parameter $\lambda$ = 4.7 Find the probability that in a randomly selected week the number of burglaries is at least three. 
A)0.152
B)0.157
C)0.848
D)0.690

Quizplus · Accepted Answer

The probability of having at least three burglaries is the complement of the probability of having fewer than three burglaries (0, 1, or 2). Using the Poisson distribution formula, calculate the probabilities for 0, 1, and 2 burglaries and subtract their sum from 1. This gives the probability of having at least three burglaries, which is approximately 0.848.

Use the Poisson Distribution to Find the Indicated Probability λ\lambdaλ = 47 Find the Probability That in a Randomly Selected Week

Use the Poisson Distribution to Find the Indicated Probability $\lambda$ = 47 Find the Probability That in a Randomly Selected Week