(a) What is the probability that exactly 8 accidents will occur in any given month at this intersection? The probability that exactly 8 accidents will occur in any given month at this intersection is (Round to four decimal places as needed.)

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**Poisson Probability Problem: Traffic Accidents**

**Problem Overview:**

On average, 4 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below.

**Instructions:**

Click on the provided link to view the table of Poisson probability sums needed for solving the problem.

**Part (a):**

(a) What is the probability that exactly 8 accidents will occur in any given month at this intersection?

To find the solution:

- Utilize the Poisson distribution formula or refer to the Poisson probability table.
- Calculate or look up the probability for 8 occurrences given an average rate of 4 accidents per month.

**Answer to Part (a):**

The probability that exactly 8 accidents will occur in any given month at this intersection is \[ \quad \], rounded to four decimal places as needed. Fill in the probability once calculated.
Transcribed Image Text:**Poisson Probability Problem: Traffic Accidents** **Problem Overview:** On average, 4 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. **Instructions:** Click on the provided link to view the table of Poisson probability sums needed for solving the problem. **Part (a):** (a) What is the probability that exactly 8 accidents will occur in any given month at this intersection? To find the solution: - Utilize the Poisson distribution formula or refer to the Poisson probability table. - Calculate or look up the probability for 8 occurrences given an average rate of 4 accidents per month. **Answer to Part (a):** The probability that exactly 8 accidents will occur in any given month at this intersection is \[ \quad \], rounded to four decimal places as needed. Fill in the probability once calculated.
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