A particular intersection in a small town is equipped with a surveillance camera. The number of traffic tickets issued to drivers passing through the intersection follows the Poisson distribution and averages 5.8 per month. a. What is the probability that 5 traffic tickets will be issued at the intersection next month? b. What is the probability that 3 or fewer traffic tickets will be issued at the intersection next month? c. What is the probability that more than 6 traffic tickets will be issued at the intersection next month?

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A particular intersection in a small town is equipped with a surveillance camera. The number of traffic tickets issued to drivers passing through the intersection follows the Poisson distribution and averages 5.8 per month.

### Traffic Ticket Probability at a Small Town Intersection

A particular intersection in a small town is equipped with a surveillance camera. The number of traffic tickets issued to drivers passing through the intersection follows the Poisson distribution and averages 5.8 per month.

#### Questions:

a. What is the probability that 5 traffic tickets will be issued at the intersection next month?

b. What is the probability that 3 or fewer traffic tickets will be issued at the intersection next month?

c. What is the probability that more than 6 traffic tickets will be issued at the intersection next month?

### Explanation:

This exercise involves calculating probabilities related to the number of traffic tickets issued, using the Poisson distribution, which is ideal for modeling the number of events occurring within a fixed interval of time with a known average rate.
Transcribed Image Text:### Traffic Ticket Probability at a Small Town Intersection A particular intersection in a small town is equipped with a surveillance camera. The number of traffic tickets issued to drivers passing through the intersection follows the Poisson distribution and averages 5.8 per month. #### Questions: a. What is the probability that 5 traffic tickets will be issued at the intersection next month? b. What is the probability that 3 or fewer traffic tickets will be issued at the intersection next month? c. What is the probability that more than 6 traffic tickets will be issued at the intersection next month? ### Explanation: This exercise involves calculating probabilities related to the number of traffic tickets issued, using the Poisson distribution, which is ideal for modeling the number of events occurring within a fixed interval of time with a known average rate.
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