Problem 53E

Recent crime reports indicate that 3.1 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution.

a. Calculate the probability exactly four thefts occur in a minute.

b. What is the probability there are no thefts in a minute?

c. What is the probability there is at least one theft in a minute?

Solution:

Step 1 of 3:

The average number of motor vehicle thefts occur each minute in the United States is 3.1.

The distribution of thefts per minute can be approximated by the Poisson distribution.

- We have to find the probability that exactly four thefts occur in a minute.
- We have to find the probability there are no thefts occur in a minute.
- We have to find the probability that there is at least one theft in a minute.